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Finding the Third Proportional to 10,712.25 and 15,759.56

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Solution

The third proportional to 10,712.25 and 15,759.56 is: 23,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.25 : 15,759.56 = 15,759.56 : x
  2. Step 2: Convert to fraction form
    10,712.25/15,759.56 = 15,759.56/x
  3. Step 3: Cross multiply
    10,712.25x = 15,759.56 × 15,759.56
  4. Step 4: Simplify right side
    10,712.25x = 248,363,810.19
  5. Step 5: Solve for x
    x = 248,363,810.19/10,712.25
  6. Step 6: Final answer
    x = 23,185.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.