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Finding the Third Proportional to 3,527.30 and 7,510.22

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Solution

The third proportional to 3,527.30 and 7,510.22 is: 15,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.30 : 7,510.22 = 7,510.22 : x
  2. Step 2: Convert to fraction form
    3,527.30/7,510.22 = 7,510.22/x
  3. Step 3: Cross multiply
    3,527.30x = 7,510.22 × 7,510.22
  4. Step 4: Simplify right side
    3,527.30x = 56,403,385.67
  5. Step 5: Solve for x
    x = 56,403,385.67/3,527.30
  6. Step 6: Final answer
    x = 15,990.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.