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Finding the Third Proportional to 10,946 and 15,939

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Solution

The third proportional to 10,946 and 15,939 is: 23,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946 : 15,939 = 15,939 : x
  2. Step 2: Convert to fraction form
    10,946/15,939 = 15,939/x
  3. Step 3: Cross multiply
    10,946x = 15,939 × 15,939
  4. Step 4: Simplify right side
    10,946x = 254,051,721
  5. Step 5: Solve for x
    x = 254,051,721/10,946
  6. Step 6: Final answer
    x = 23,209.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.