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Finding the Third Proportional to 9,972 and 15,643

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Solution

The third proportional to 9,972 and 15,643 is: 24,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 15,643 = 15,643 : x
  2. Step 2: Convert to fraction form
    9,972/15,643 = 15,643/x
  3. Step 3: Cross multiply
    9,972x = 15,643 × 15,643
  4. Step 4: Simplify right side
    9,972x = 244,703,449
  5. Step 5: Solve for x
    x = 244,703,449/9,972
  6. Step 6: Final answer
    x = 24,539.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.