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Finding the Third Proportional to 7,840.13 and 9,271.13

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Solution

The third proportional to 7,840.13 and 9,271.13 is: 10,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.13 : 9,271.13 = 9,271.13 : x
  2. Step 2: Convert to fraction form
    7,840.13/9,271.13 = 9,271.13/x
  3. Step 3: Cross multiply
    7,840.13x = 9,271.13 × 9,271.13
  4. Step 4: Simplify right side
    7,840.13x = 85,953,758.77
  5. Step 5: Solve for x
    x = 85,953,758.77/7,840.13
  6. Step 6: Final answer
    x = 10,963.31

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.