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Finding the Third Proportional to 34,719 and 74,712

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Solution

The third proportional to 34,719 and 74,712 is: 160,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,719 : 74,712 = 74,712 : x
  2. Step 2: Convert to fraction form
    34,719/74,712 = 74,712/x
  3. Step 3: Cross multiply
    34,719x = 74,712 × 74,712
  4. Step 4: Simplify right side
    34,719x = 5,581,882,944
  5. Step 5: Solve for x
    x = 5,581,882,944/34,719
  6. Step 6: Final answer
    x = 160,773.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.