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Finding the Third Proportional to 990.75 and 1,762.13

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Solution

The third proportional to 990.75 and 1,762.13 is: 3,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.75 : 1,762.13 = 1,762.13 : x
  2. Step 2: Convert to fraction form
    990.75/1,762.13 = 1,762.13/x
  3. Step 3: Cross multiply
    990.75x = 1,762.13 × 1,762.13
  4. Step 4: Simplify right side
    990.75x = 3,105,084.52
  5. Step 5: Solve for x
    x = 3,105,084.52/990.75
  6. Step 6: Final answer
    x = 3,134.07

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.