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Finding the Third Proportional to 29,100 and 63,240

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Solution

The third proportional to 29,100 and 63,240 is: 137,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,100 : 63,240 = 63,240 : x
  2. Step 2: Convert to fraction form
    29,100/63,240 = 63,240/x
  3. Step 3: Cross multiply
    29,100x = 63,240 × 63,240
  4. Step 4: Simplify right side
    29,100x = 3,999,297,600
  5. Step 5: Solve for x
    x = 3,999,297,600/29,100
  6. Step 6: Final answer
    x = 137,432.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.