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Finding the Third Proportional to 15,979 and 35,065

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Solution

The third proportional to 15,979 and 35,065 is: 76,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,979 : 35,065 = 35,065 : x
  2. Step 2: Convert to fraction form
    15,979/35,065 = 35,065/x
  3. Step 3: Cross multiply
    15,979x = 35,065 × 35,065
  4. Step 4: Simplify right side
    15,979x = 1,229,554,225
  5. Step 5: Solve for x
    x = 1,229,554,225/15,979
  6. Step 6: Final answer
    x = 76,948.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.