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Finding the Third Proportional to 2,416.50 and 2,710.13

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Solution

The third proportional to 2,416.50 and 2,710.13 is: 3,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.50 : 2,710.13 = 2,710.13 : x
  2. Step 2: Convert to fraction form
    2,416.50/2,710.13 = 2,710.13/x
  3. Step 3: Cross multiply
    2,416.50x = 2,710.13 × 2,710.13
  4. Step 4: Simplify right side
    2,416.50x = 7,344,777.52
  5. Step 5: Solve for x
    x = 7,344,777.52/2,416.50
  6. Step 6: Final answer
    x = 3,039.43

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.