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Finding the Third Proportional to 10,026 and 14,331

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Solution

The third proportional to 10,026 and 14,331 is: 20,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 14,331 = 14,331 : x
  2. Step 2: Convert to fraction form
    10,026/14,331 = 14,331/x
  3. Step 3: Cross multiply
    10,026x = 14,331 × 14,331
  4. Step 4: Simplify right side
    10,026x = 205,377,561
  5. Step 5: Solve for x
    x = 205,377,561/10,026
  6. Step 6: Final answer
    x = 20,484.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.