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Finding the Third Proportional to 34,495 and 74,527

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Solution

The third proportional to 34,495 and 74,527 is: 161,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495 : 74,527 = 74,527 : x
  2. Step 2: Convert to fraction form
    34,495/74,527 = 74,527/x
  3. Step 3: Cross multiply
    34,495x = 74,527 × 74,527
  4. Step 4: Simplify right side
    34,495x = 5,554,273,729
  5. Step 5: Solve for x
    x = 5,554,273,729/34,495
  6. Step 6: Final answer
    x = 161,016.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.