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Finding the Third Proportional to 2,320.88 and 3,526.88

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Solution

The third proportional to 2,320.88 and 3,526.88 is: 5,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.88 : 3,526.88 = 3,526.88 : x
  2. Step 2: Convert to fraction form
    2,320.88/3,526.88 = 3,526.88/x
  3. Step 3: Cross multiply
    2,320.88x = 3,526.88 × 3,526.88
  4. Step 4: Simplify right side
    2,320.88x = 12,438,847.27
  5. Step 5: Solve for x
    x = 12,438,847.27/2,320.88
  6. Step 6: Final answer
    x = 5,359.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.