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Finding the Third Proportional to 15,234 and 17,490

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Solution

The third proportional to 15,234 and 17,490 is: 20,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234 : 17,490 = 17,490 : x
  2. Step 2: Convert to fraction form
    15,234/17,490 = 17,490/x
  3. Step 3: Cross multiply
    15,234x = 17,490 × 17,490
  4. Step 4: Simplify right side
    15,234x = 305,900,100
  5. Step 5: Solve for x
    x = 305,900,100/15,234
  6. Step 6: Final answer
    x = 20,080.09

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.