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Finding the Third Proportional to 23,624.16 and 36,875.25

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Solution

The third proportional to 23,624.16 and 36,875.25 is: 57,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.16 : 36,875.25 = 36,875.25 : x
  2. Step 2: Convert to fraction form
    23,624.16/36,875.25 = 36,875.25/x
  3. Step 3: Cross multiply
    23,624.16x = 36,875.25 × 36,875.25
  4. Step 4: Simplify right side
    23,624.16x = 1,359,784,062.56
  5. Step 5: Solve for x
    x = 1,359,784,062.56/23,624.16
  6. Step 6: Final answer
    x = 57,559.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.