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Finding the Third Proportional to 1,114.38 and 2,411.02

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Solution

The third proportional to 1,114.38 and 2,411.02 is: 5,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.38 : 2,411.02 = 2,411.02 : x
  2. Step 2: Convert to fraction form
    1,114.38/2,411.02 = 2,411.02/x
  3. Step 3: Cross multiply
    1,114.38x = 2,411.02 × 2,411.02
  4. Step 4: Simplify right side
    1,114.38x = 5,812,996.34
  5. Step 5: Solve for x
    x = 5,812,996.34/1,114.38
  6. Step 6: Final answer
    x = 5,216.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.