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Finding the Third Proportional to 27,138.61 and 43,075.78

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Solution

The third proportional to 27,138.61 and 43,075.78 is: 68,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.61 : 43,075.78 = 43,075.78 : x
  2. Step 2: Convert to fraction form
    27,138.61/43,075.78 = 43,075.78/x
  3. Step 3: Cross multiply
    27,138.61x = 43,075.78 × 43,075.78
  4. Step 4: Simplify right side
    27,138.61x = 1,855,523,182.70
  5. Step 5: Solve for x
    x = 1,855,523,182.70/27,138.61
  6. Step 6: Final answer
    x = 68,372.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.