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Finding the Third Proportional to 1,101.13 and 2,386.75

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Solution

The third proportional to 1,101.13 and 2,386.75 is: 5,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.13 : 2,386.75 = 2,386.75 : x
  2. Step 2: Convert to fraction form
    1,101.13/2,386.75 = 2,386.75/x
  3. Step 3: Cross multiply
    1,101.13x = 2,386.75 × 2,386.75
  4. Step 4: Simplify right side
    1,101.13x = 5,696,575.56
  5. Step 5: Solve for x
    x = 5,696,575.56/1,101.13
  6. Step 6: Final answer
    x = 5,173.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.