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Finding the Third Proportional to 29,714 and 64,758

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Solution

The third proportional to 29,714 and 64,758 is: 141,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714 : 64,758 = 64,758 : x
  2. Step 2: Convert to fraction form
    29,714/64,758 = 64,758/x
  3. Step 3: Cross multiply
    29,714x = 64,758 × 64,758
  4. Step 4: Simplify right side
    29,714x = 4,193,598,564
  5. Step 5: Solve for x
    x = 4,193,598,564/29,714
  6. Step 6: Final answer
    x = 141,132.08

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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.