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Finding the Third Proportional to 6,535.13 and 10,133.16

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Solution

The third proportional to 6,535.13 and 10,133.16 is: 15,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.13 : 10,133.16 = 10,133.16 : x
  2. Step 2: Convert to fraction form
    6,535.13/10,133.16 = 10,133.16/x
  3. Step 3: Cross multiply
    6,535.13x = 10,133.16 × 10,133.16
  4. Step 4: Simplify right side
    6,535.13x = 102,680,855.59
  5. Step 5: Solve for x
    x = 102,680,855.59/6,535.13
  6. Step 6: Final answer
    x = 15,712.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.