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Finding the Third Proportional to 6,526.13 and 7,147.13

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Solution

The third proportional to 6,526.13 and 7,147.13 is: 7,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.13 : 7,147.13 = 7,147.13 : x
  2. Step 2: Convert to fraction form
    6,526.13/7,147.13 = 7,147.13/x
  3. Step 3: Cross multiply
    6,526.13x = 7,147.13 × 7,147.13
  4. Step 4: Simplify right side
    6,526.13x = 51,081,395.77
  5. Step 5: Solve for x
    x = 51,081,395.77/6,526.13
  6. Step 6: Final answer
    x = 7,827.22

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.