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Finding the Third Proportional to 29,972 and 64,552

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Solution

The third proportional to 29,972 and 64,552 is: 139,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972 : 64,552 = 64,552 : x
  2. Step 2: Convert to fraction form
    29,972/64,552 = 64,552/x
  3. Step 3: Cross multiply
    29,972x = 64,552 × 64,552
  4. Step 4: Simplify right side
    29,972x = 4,166,960,704
  5. Step 5: Solve for x
    x = 4,166,960,704/29,972
  6. Step 6: Final answer
    x = 139,028.45

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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.