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Finding the Third Proportional to 27,706.13 and 43,878.56

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Solution

The third proportional to 27,706.13 and 43,878.56 is: 69,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.13 : 43,878.56 = 43,878.56 : x
  2. Step 2: Convert to fraction form
    27,706.13/43,878.56 = 43,878.56/x
  3. Step 3: Cross multiply
    27,706.13x = 43,878.56 × 43,878.56
  4. Step 4: Simplify right side
    27,706.13x = 1,925,328,247.07
  5. Step 5: Solve for x
    x = 1,925,328,247.07/27,706.13
  6. Step 6: Final answer
    x = 69,491.07

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.