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Finding the Third Proportional to 27,123.50 and 41,913.50

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Solution

The third proportional to 27,123.50 and 41,913.50 is: 64,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,123.50 : 41,913.50 = 41,913.50 : x
  2. Step 2: Convert to fraction form
    27,123.50/41,913.50 = 41,913.50/x
  3. Step 3: Cross multiply
    27,123.50x = 41,913.50 × 41,913.50
  4. Step 4: Simplify right side
    27,123.50x = 1,756,741,482.25
  5. Step 5: Solve for x
    x = 1,756,741,482.25/27,123.50
  6. Step 6: Final answer
    x = 64,768.24

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