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Finding the Third Proportional to 17,259 and 24,473

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Solution

The third proportional to 17,259 and 24,473 is: 34,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259 : 24,473 = 24,473 : x
  2. Step 2: Convert to fraction form
    17,259/24,473 = 24,473/x
  3. Step 3: Cross multiply
    17,259x = 24,473 × 24,473
  4. Step 4: Simplify right side
    17,259x = 598,927,729
  5. Step 5: Solve for x
    x = 598,927,729/17,259
  6. Step 6: Final answer
    x = 34,702.34

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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.