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Finding the Third Proportional to 10,948 and 16,987

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Solution

The third proportional to 10,948 and 16,987 is: 26,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948 : 16,987 = 16,987 : x
  2. Step 2: Convert to fraction form
    10,948/16,987 = 16,987/x
  3. Step 3: Cross multiply
    10,948x = 16,987 × 16,987
  4. Step 4: Simplify right side
    10,948x = 288,558,169
  5. Step 5: Solve for x
    x = 288,558,169/10,948
  6. Step 6: Final answer
    x = 26,357.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.