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Finding the Third Proportional to 1,154 and 3,117

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Solution

The third proportional to 1,154 and 3,117 is: 8,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154 : 3,117 = 3,117 : x
  2. Step 2: Convert to fraction form
    1,154/3,117 = 3,117/x
  3. Step 3: Cross multiply
    1,154x = 3,117 × 3,117
  4. Step 4: Simplify right side
    1,154x = 9,715,689
  5. Step 5: Solve for x
    x = 9,715,689/1,154
  6. Step 6: Final answer
    x = 8,419.14

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.