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Finding the Third Proportional to 6,510.38 and 10,035.77

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Solution

The third proportional to 6,510.38 and 10,035.77 is: 15,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.38 : 10,035.77 = 10,035.77 : x
  2. Step 2: Convert to fraction form
    6,510.38/10,035.77 = 10,035.77/x
  3. Step 3: Cross multiply
    6,510.38x = 10,035.77 × 10,035.77
  4. Step 4: Simplify right side
    6,510.38x = 100,716,748.49
  5. Step 5: Solve for x
    x = 100,716,748.49/6,510.38
  6. Step 6: Final answer
    x = 15,470.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.