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Finding the Third Proportional to 27,642.75 and 64,981.50

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Solution

The third proportional to 27,642.75 and 64,981.50 is: 152,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.75 : 64,981.50 = 64,981.50 : x
  2. Step 2: Convert to fraction form
    27,642.75/64,981.50 = 64,981.50/x
  3. Step 3: Cross multiply
    27,642.75x = 64,981.50 × 64,981.50
  4. Step 4: Simplify right side
    27,642.75x = 4,222,595,342.25
  5. Step 5: Solve for x
    x = 4,222,595,342.25/27,642.75
  6. Step 6: Final answer
    x = 152,755.98

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.