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Finding the Third Proportional to 28,942 and 63,424

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Solution

The third proportional to 28,942 and 63,424 is: 138,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,942 : 63,424 = 63,424 : x
  2. Step 2: Convert to fraction form
    28,942/63,424 = 63,424/x
  3. Step 3: Cross multiply
    28,942x = 63,424 × 63,424
  4. Step 4: Simplify right side
    28,942x = 4,022,603,776
  5. Step 5: Solve for x
    x = 4,022,603,776/28,942
  6. Step 6: Final answer
    x = 138,988.45

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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.