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Finding the Third Proportional to 15,978.66 and 25,011

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Solution

The third proportional to 15,978.66 and 25,011 is: 39,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.66 : 25,011 = 25,011 : x
  2. Step 2: Convert to fraction form
    15,978.66/25,011 = 25,011/x
  3. Step 3: Cross multiply
    15,978.66x = 25,011 × 25,011
  4. Step 4: Simplify right side
    15,978.66x = 625,550,121
  5. Step 5: Solve for x
    x = 625,550,121/15,978.66
  6. Step 6: Final answer
    x = 39,149.11

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