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Finding the Third Proportional to 2,515.90 and 4,633.14

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Solution

The third proportional to 2,515.90 and 4,633.14 is: 8,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.90 : 4,633.14 = 4,633.14 : x
  2. Step 2: Convert to fraction form
    2,515.90/4,633.14 = 4,633.14/x
  3. Step 3: Cross multiply
    2,515.90x = 4,633.14 × 4,633.14
  4. Step 4: Simplify right side
    2,515.90x = 21,465,955.85
  5. Step 5: Solve for x
    x = 21,465,955.85/2,515.90
  6. Step 6: Final answer
    x = 8,532.10

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.