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Finding the Third Proportional to 7,254.56 and 15,587.44

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Solution

The third proportional to 7,254.56 and 15,587.44 is: 33,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.56 : 15,587.44 = 15,587.44 : x
  2. Step 2: Convert to fraction form
    7,254.56/15,587.44 = 15,587.44/x
  3. Step 3: Cross multiply
    7,254.56x = 15,587.44 × 15,587.44
  4. Step 4: Simplify right side
    7,254.56x = 242,968,207.82
  5. Step 5: Solve for x
    x = 242,968,207.82/7,254.56
  6. Step 6: Final answer
    x = 33,491.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.