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Finding the Third Proportional to 23,829.19 and 40,527.84

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Solution

The third proportional to 23,829.19 and 40,527.84 is: 68,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.19 : 40,527.84 = 40,527.84 : x
  2. Step 2: Convert to fraction form
    23,829.19/40,527.84 = 40,527.84/x
  3. Step 3: Cross multiply
    23,829.19x = 40,527.84 × 40,527.84
  4. Step 4: Simplify right side
    23,829.19x = 1,642,506,119.02
  5. Step 5: Solve for x
    x = 1,642,506,119.02/23,829.19
  6. Step 6: Final answer
    x = 68,928.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.