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Finding the Third Proportional to 24,527.81 and 38,902.78

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Solution

The third proportional to 24,527.81 and 38,902.78 is: 61,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.81 : 38,902.78 = 38,902.78 : x
  2. Step 2: Convert to fraction form
    24,527.81/38,902.78 = 38,902.78/x
  3. Step 3: Cross multiply
    24,527.81x = 38,902.78 × 38,902.78
  4. Step 4: Simplify right side
    24,527.81x = 1,513,426,388.99
  5. Step 5: Solve for x
    x = 1,513,426,388.99/24,527.81
  6. Step 6: Final answer
    x = 61,702.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.