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Finding the Third Proportional to 5,068.13 and 10,648.13

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Solution

The third proportional to 5,068.13 and 10,648.13 is: 22,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.13 : 10,648.13 = 10,648.13 : x
  2. Step 2: Convert to fraction form
    5,068.13/10,648.13 = 10,648.13/x
  3. Step 3: Cross multiply
    5,068.13x = 10,648.13 × 10,648.13
  4. Step 4: Simplify right side
    5,068.13x = 113,382,566.02
  5. Step 5: Solve for x
    x = 113,382,566.02/5,068.13
  6. Step 6: Final answer
    x = 22,371.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.