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Finding the Third Proportional to 27,095.77 and 41,680.20

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Solution

The third proportional to 27,095.77 and 41,680.20 is: 64,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095.77 : 41,680.20 = 41,680.20 : x
  2. Step 2: Convert to fraction form
    27,095.77/41,680.20 = 41,680.20/x
  3. Step 3: Cross multiply
    27,095.77x = 41,680.20 × 41,680.20
  4. Step 4: Simplify right side
    27,095.77x = 1,737,238,681.29
  5. Step 5: Solve for x
    x = 1,737,238,681.29/27,095.77
  6. Step 6: Final answer
    x = 64,114.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.