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Finding the Third Proportional to 6,580.93 and 10,115.82

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Solution

The third proportional to 6,580.93 and 10,115.82 is: 15,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.93 : 10,115.82 = 10,115.82 : x
  2. Step 2: Convert to fraction form
    6,580.93/10,115.82 = 10,115.82/x
  3. Step 3: Cross multiply
    6,580.93x = 10,115.82 × 10,115.82
  4. Step 4: Simplify right side
    6,580.93x = 102,329,899.62
  5. Step 5: Solve for x
    x = 102,329,899.62/6,580.93
  6. Step 6: Final answer
    x = 15,549.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.