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Finding the Third Proportional to 15,437.25 and 17,624.25

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Solution

The third proportional to 15,437.25 and 17,624.25 is: 20,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,437.25 : 17,624.25 = 17,624.25 : x
  2. Step 2: Convert to fraction form
    15,437.25/17,624.25 = 17,624.25/x
  3. Step 3: Cross multiply
    15,437.25x = 17,624.25 × 17,624.25
  4. Step 4: Simplify right side
    15,437.25x = 310,614,188.06
  5. Step 5: Solve for x
    x = 310,614,188.06/15,437.25
  6. Step 6: Final answer
    x = 20,121.08

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.