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Finding the Third Proportional to 29,719 and 64,769

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Solution

The third proportional to 29,719 and 64,769 is: 141,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,719 : 64,769 = 64,769 : x
  2. Step 2: Convert to fraction form
    29,719/64,769 = 64,769/x
  3. Step 3: Cross multiply
    29,719x = 64,769 × 64,769
  4. Step 4: Simplify right side
    29,719x = 4,195,023,361
  5. Step 5: Solve for x
    x = 4,195,023,361/29,719
  6. Step 6: Final answer
    x = 141,156.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.