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Finding the Third Proportional to 35,472 and 74,784

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Solution

The third proportional to 35,472 and 74,784 is: 157,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472 : 74,784 = 74,784 : x
  2. Step 2: Convert to fraction form
    35,472/74,784 = 74,784/x
  3. Step 3: Cross multiply
    35,472x = 74,784 × 74,784
  4. Step 4: Simplify right side
    35,472x = 5,592,646,656
  5. Step 5: Solve for x
    x = 5,592,646,656/35,472
  6. Step 6: Final answer
    x = 157,663.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.