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Finding the Third Proportional to 10,946.39 and 16,932.80

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Solution

The third proportional to 10,946.39 and 16,932.80 is: 26,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.39 : 16,932.80 = 16,932.80 : x
  2. Step 2: Convert to fraction form
    10,946.39/16,932.80 = 16,932.80/x
  3. Step 3: Cross multiply
    10,946.39x = 16,932.80 × 16,932.80
  4. Step 4: Simplify right side
    10,946.39x = 286,719,610.01
  5. Step 5: Solve for x
    x = 286,719,610.01/10,946.39
  6. Step 6: Final answer
    x = 26,193.07

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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.