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Finding the Third Proportional to 12,348 and 17,490

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Solution

The third proportional to 12,348 and 17,490 is: 24,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348 : 17,490 = 17,490 : x
  2. Step 2: Convert to fraction form
    12,348/17,490 = 17,490/x
  3. Step 3: Cross multiply
    12,348x = 17,490 × 17,490
  4. Step 4: Simplify right side
    12,348x = 305,900,100
  5. Step 5: Solve for x
    x = 305,900,100/12,348
  6. Step 6: Final answer
    x = 24,773.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.