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Finding the Third Proportional to 6,312.75 and 13,291.13

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Solution

The third proportional to 6,312.75 and 13,291.13 is: 27,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.75 : 13,291.13 = 13,291.13 : x
  2. Step 2: Convert to fraction form
    6,312.75/13,291.13 = 13,291.13/x
  3. Step 3: Cross multiply
    6,312.75x = 13,291.13 × 13,291.13
  4. Step 4: Simplify right side
    6,312.75x = 176,654,003.77
  5. Step 5: Solve for x
    x = 176,654,003.77/6,312.75
  6. Step 6: Final answer
    x = 27,983.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.