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Finding the Third Proportional to 29,716 and 64,762

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Solution

The third proportional to 29,716 and 64,762 is: 141,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716 : 64,762 = 64,762 : x
  2. Step 2: Convert to fraction form
    29,716/64,762 = 64,762/x
  3. Step 3: Cross multiply
    29,716x = 64,762 × 64,762
  4. Step 4: Simplify right side
    29,716x = 4,194,116,644
  5. Step 5: Solve for x
    x = 4,194,116,644/29,716
  6. Step 6: Final answer
    x = 141,140.01

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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.