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Finding the Third Proportional to 10,324 and 15,470

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Solution

The third proportional to 10,324 and 15,470 is: 23,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 15,470 = 15,470 : x
  2. Step 2: Convert to fraction form
    10,324/15,470 = 15,470/x
  3. Step 3: Cross multiply
    10,324x = 15,470 × 15,470
  4. Step 4: Simplify right side
    10,324x = 239,320,900
  5. Step 5: Solve for x
    x = 239,320,900/10,324
  6. Step 6: Final answer
    x = 23,181.02

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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.