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Finding the Third Proportional to 15,001 and 19,470

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Solution

The third proportional to 15,001 and 19,470 is: 25,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,001 : 19,470 = 19,470 : x
  2. Step 2: Convert to fraction form
    15,001/19,470 = 19,470/x
  3. Step 3: Cross multiply
    15,001x = 19,470 × 19,470
  4. Step 4: Simplify right side
    15,001x = 379,080,900
  5. Step 5: Solve for x
    x = 379,080,900/15,001
  6. Step 6: Final answer
    x = 25,270.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.