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Finding the Third Proportional to 16,464.75 and 23,527.50

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Solution

The third proportional to 16,464.75 and 23,527.50 is: 33,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.75 : 23,527.50 = 23,527.50 : x
  2. Step 2: Convert to fraction form
    16,464.75/23,527.50 = 23,527.50/x
  3. Step 3: Cross multiply
    16,464.75x = 23,527.50 × 23,527.50
  4. Step 4: Simplify right side
    16,464.75x = 553,543,256.25
  5. Step 5: Solve for x
    x = 553,543,256.25/16,464.75
  6. Step 6: Final answer
    x = 33,619.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.