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Finding the Third Proportional to 5,587.88 and 8,724.94

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Solution

The third proportional to 5,587.88 and 8,724.94 is: 13,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.88 : 8,724.94 = 8,724.94 : x
  2. Step 2: Convert to fraction form
    5,587.88/8,724.94 = 8,724.94/x
  3. Step 3: Cross multiply
    5,587.88x = 8,724.94 × 8,724.94
  4. Step 4: Simplify right side
    5,587.88x = 76,124,534.38
  5. Step 5: Solve for x
    x = 76,124,534.38/5,587.88
  6. Step 6: Final answer
    x = 13,623.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.