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Finding the Third Proportional to 2,860.59 and 4,521.23

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Solution

The third proportional to 2,860.59 and 4,521.23 is: 7,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.59 : 4,521.23 = 4,521.23 : x
  2. Step 2: Convert to fraction form
    2,860.59/4,521.23 = 4,521.23/x
  3. Step 3: Cross multiply
    2,860.59x = 4,521.23 × 4,521.23
  4. Step 4: Simplify right side
    2,860.59x = 20,441,560.27
  5. Step 5: Solve for x
    x = 20,441,560.27/2,860.59
  6. Step 6: Final answer
    x = 7,145.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.