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Finding the Third Proportional to 15,752.25 and 23,643

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Solution

The third proportional to 15,752.25 and 23,643 is: 35,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.25 : 23,643 = 23,643 : x
  2. Step 2: Convert to fraction form
    15,752.25/23,643 = 23,643/x
  3. Step 3: Cross multiply
    15,752.25x = 23,643 × 23,643
  4. Step 4: Simplify right side
    15,752.25x = 558,991,449
  5. Step 5: Solve for x
    x = 558,991,449/15,752.25
  6. Step 6: Final answer
    x = 35,486.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.