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Finding the Third Proportional to 22,312 and 34,567

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Solution

The third proportional to 22,312 and 34,567 is: 53,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312 : 34,567 = 34,567 : x
  2. Step 2: Convert to fraction form
    22,312/34,567 = 34,567/x
  3. Step 3: Cross multiply
    22,312x = 34,567 × 34,567
  4. Step 4: Simplify right side
    22,312x = 1,194,877,489
  5. Step 5: Solve for x
    x = 1,194,877,489/22,312
  6. Step 6: Final answer
    x = 53,553.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.