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Finding the Third Proportional to 15,523 and 23,294

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Solution

The third proportional to 15,523 and 23,294 is: 34,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523 : 23,294 = 23,294 : x
  2. Step 2: Convert to fraction form
    15,523/23,294 = 23,294/x
  3. Step 3: Cross multiply
    15,523x = 23,294 × 23,294
  4. Step 4: Simplify right side
    15,523x = 542,610,436
  5. Step 5: Solve for x
    x = 542,610,436/15,523
  6. Step 6: Final answer
    x = 34,955.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.