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Finding the Third Proportional to 1,038 and 1,101

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Solution

The third proportional to 1,038 and 1,101 is: 1,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038 : 1,101 = 1,101 : x
  2. Step 2: Convert to fraction form
    1,038/1,101 = 1,101/x
  3. Step 3: Cross multiply
    1,038x = 1,101 × 1,101
  4. Step 4: Simplify right side
    1,038x = 1,212,201
  5. Step 5: Solve for x
    x = 1,212,201/1,038
  6. Step 6: Final answer
    x = 1,167.82

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.