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Finding the Third Proportional to 22,657 and 33,319

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Solution

The third proportional to 22,657 and 33,319 is: 48,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657 : 33,319 = 33,319 : x
  2. Step 2: Convert to fraction form
    22,657/33,319 = 33,319/x
  3. Step 3: Cross multiply
    22,657x = 33,319 × 33,319
  4. Step 4: Simplify right side
    22,657x = 1,110,155,761
  5. Step 5: Solve for x
    x = 1,110,155,761/22,657
  6. Step 6: Final answer
    x = 48,998.36

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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.