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Finding the Third Proportional to 29,032 and 63,600

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Solution

The third proportional to 29,032 and 63,600 is: 139,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032 : 63,600 = 63,600 : x
  2. Step 2: Convert to fraction form
    29,032/63,600 = 63,600/x
  3. Step 3: Cross multiply
    29,032x = 63,600 × 63,600
  4. Step 4: Simplify right side
    29,032x = 4,044,960,000
  5. Step 5: Solve for x
    x = 4,044,960,000/29,032
  6. Step 6: Final answer
    x = 139,327.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.