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Finding the Third Proportional to 5,140.13 and 10,113.19

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Solution

The third proportional to 5,140.13 and 10,113.19 is: 19,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.13 : 10,113.19 = 10,113.19 : x
  2. Step 2: Convert to fraction form
    5,140.13/10,113.19 = 10,113.19/x
  3. Step 3: Cross multiply
    5,140.13x = 10,113.19 × 10,113.19
  4. Step 4: Simplify right side
    5,140.13x = 102,276,561.41
  5. Step 5: Solve for x
    x = 102,276,561.41/5,140.13
  6. Step 6: Final answer
    x = 19,897.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.