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Finding the Third Proportional to 5,410.13 and 7,301.81

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Solution

The third proportional to 5,410.13 and 7,301.81 is: 9,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.13 : 7,301.81 = 7,301.81 : x
  2. Step 2: Convert to fraction form
    5,410.13/7,301.81 = 7,301.81/x
  3. Step 3: Cross multiply
    5,410.13x = 7,301.81 × 7,301.81
  4. Step 4: Simplify right side
    5,410.13x = 53,316,465.79
  5. Step 5: Solve for x
    x = 53,316,465.79/5,410.13
  6. Step 6: Final answer
    x = 9,854.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.