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Finding the Third Proportional to 22,259 and 34,665

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Solution

The third proportional to 22,259 and 34,665 is: 53,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,259 : 34,665 = 34,665 : x
  2. Step 2: Convert to fraction form
    22,259/34,665 = 34,665/x
  3. Step 3: Cross multiply
    22,259x = 34,665 × 34,665
  4. Step 4: Simplify right side
    22,259x = 1,201,662,225
  5. Step 5: Solve for x
    x = 1,201,662,225/22,259
  6. Step 6: Final answer
    x = 53,985.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.