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Finding the Third Proportional to 18,693 and 27,877.50

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Solution

The third proportional to 18,693 and 27,877.50 is: 41,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,693 : 27,877.50 = 27,877.50 : x
  2. Step 2: Convert to fraction form
    18,693/27,877.50 = 27,877.50/x
  3. Step 3: Cross multiply
    18,693x = 27,877.50 × 27,877.50
  4. Step 4: Simplify right side
    18,693x = 777,155,006.25
  5. Step 5: Solve for x
    x = 777,155,006.25/18,693
  6. Step 6: Final answer
    x = 41,574.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.