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Finding the Third Proportional to 7,587.47 and 15,475.88

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Solution

The third proportional to 7,587.47 and 15,475.88 is: 31,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.47 : 15,475.88 = 15,475.88 : x
  2. Step 2: Convert to fraction form
    7,587.47/15,475.88 = 15,475.88/x
  3. Step 3: Cross multiply
    7,587.47x = 15,475.88 × 15,475.88
  4. Step 4: Simplify right side
    7,587.47x = 239,502,707.02
  5. Step 5: Solve for x
    x = 239,502,707.02/7,587.47
  6. Step 6: Final answer
    x = 31,565.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.