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Finding the Third Proportional to 8,417 and 9,146

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Solution

The third proportional to 8,417 and 9,146 is: 9,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417 : 9,146 = 9,146 : x
  2. Step 2: Convert to fraction form
    8,417/9,146 = 9,146/x
  3. Step 3: Cross multiply
    8,417x = 9,146 × 9,146
  4. Step 4: Simplify right side
    8,417x = 83,649,316
  5. Step 5: Solve for x
    x = 83,649,316/8,417
  6. Step 6: Final answer
    x = 9,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.