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Finding the Third Proportional to 22,657 and 33,292

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Solution

The third proportional to 22,657 and 33,292 is: 48,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657 : 33,292 = 33,292 : x
  2. Step 2: Convert to fraction form
    22,657/33,292 = 33,292/x
  3. Step 3: Cross multiply
    22,657x = 33,292 × 33,292
  4. Step 4: Simplify right side
    22,657x = 1,108,357,264
  5. Step 5: Solve for x
    x = 1,108,357,264/22,657
  6. Step 6: Final answer
    x = 48,918.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.