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Finding the Third Proportional to 6,535.13 and 7,156.13

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Solution

The third proportional to 6,535.13 and 7,156.13 is: 7,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.13 : 7,156.13 = 7,156.13 : x
  2. Step 2: Convert to fraction form
    6,535.13/7,156.13 = 7,156.13/x
  3. Step 3: Cross multiply
    6,535.13x = 7,156.13 × 7,156.13
  4. Step 4: Simplify right side
    6,535.13x = 51,210,125.02
  5. Step 5: Solve for x
    x = 51,210,125.02/6,535.13
  6. Step 6: Final answer
    x = 7,836.14

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