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Finding the Third Proportional to 5,170 and 9,490

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Solution

The third proportional to 5,170 and 9,490 is: 17,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170 : 9,490 = 9,490 : x
  2. Step 2: Convert to fraction form
    5,170/9,490 = 9,490/x
  3. Step 3: Cross multiply
    5,170x = 9,490 × 9,490
  4. Step 4: Simplify right side
    5,170x = 90,060,100
  5. Step 5: Solve for x
    x = 90,060,100/5,170
  6. Step 6: Final answer
    x = 17,419.75

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.