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Finding the Third Proportional to 22,645 and 53,282

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Solution

The third proportional to 22,645 and 53,282 is: 125,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645 : 53,282 = 53,282 : x
  2. Step 2: Convert to fraction form
    22,645/53,282 = 53,282/x
  3. Step 3: Cross multiply
    22,645x = 53,282 × 53,282
  4. Step 4: Simplify right side
    22,645x = 2,838,971,524
  5. Step 5: Solve for x
    x = 2,838,971,524/22,645
  6. Step 6: Final answer
    x = 125,368.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.