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Finding the Third Proportional to 5,095.13 and 7,840.97

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Solution

The third proportional to 5,095.13 and 7,840.97 is: 12,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.13 : 7,840.97 = 7,840.97 : x
  2. Step 2: Convert to fraction form
    5,095.13/7,840.97 = 7,840.97/x
  3. Step 3: Cross multiply
    5,095.13x = 7,840.97 × 7,840.97
  4. Step 4: Simplify right side
    5,095.13x = 61,480,790.94
  5. Step 5: Solve for x
    x = 61,480,790.94/5,095.13
  6. Step 6: Final answer
    x = 12,066.59

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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.