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Finding the Third Proportional to 15,222 and 22,262

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Solution

The third proportional to 15,222 and 22,262 is: 32,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222 : 22,262 = 22,262 : x
  2. Step 2: Convert to fraction form
    15,222/22,262 = 22,262/x
  3. Step 3: Cross multiply
    15,222x = 22,262 × 22,262
  4. Step 4: Simplify right side
    15,222x = 495,596,644
  5. Step 5: Solve for x
    x = 495,596,644/15,222
  6. Step 6: Final answer
    x = 32,557.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.