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Finding the Third Proportional to 12,332 and 19,471

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Solution

The third proportional to 12,332 and 19,471 is: 30,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332 : 19,471 = 19,471 : x
  2. Step 2: Convert to fraction form
    12,332/19,471 = 19,471/x
  3. Step 3: Cross multiply
    12,332x = 19,471 × 19,471
  4. Step 4: Simplify right side
    12,332x = 379,119,841
  5. Step 5: Solve for x
    x = 379,119,841/12,332
  6. Step 6: Final answer
    x = 30,742.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.