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Finding the Third Proportional to 9,523 and 14,487

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Solution

The third proportional to 9,523 and 14,487 is: 22,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523 : 14,487 = 14,487 : x
  2. Step 2: Convert to fraction form
    9,523/14,487 = 14,487/x
  3. Step 3: Cross multiply
    9,523x = 14,487 × 14,487
  4. Step 4: Simplify right side
    9,523x = 209,873,169
  5. Step 5: Solve for x
    x = 209,873,169/9,523
  6. Step 6: Final answer
    x = 22,038.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.