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Finding the Third Proportional to 20,988 and 29,342

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Solution

The third proportional to 20,988 and 29,342 is: 41,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988 : 29,342 = 29,342 : x
  2. Step 2: Convert to fraction form
    20,988/29,342 = 29,342/x
  3. Step 3: Cross multiply
    20,988x = 29,342 × 29,342
  4. Step 4: Simplify right side
    20,988x = 860,952,964
  5. Step 5: Solve for x
    x = 860,952,964/20,988
  6. Step 6: Final answer
    x = 41,021.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.