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Finding the Third Proportional to 6,175.13 and 12,038.91

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Solution

The third proportional to 6,175.13 and 12,038.91 is: 23,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.13 : 12,038.91 = 12,038.91 : x
  2. Step 2: Convert to fraction form
    6,175.13/12,038.91 = 12,038.91/x
  3. Step 3: Cross multiply
    6,175.13x = 12,038.91 × 12,038.91
  4. Step 4: Simplify right side
    6,175.13x = 144,935,263.70
  5. Step 5: Solve for x
    x = 144,935,263.70/6,175.13
  6. Step 6: Final answer
    x = 23,470.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.