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Finding the Third Proportional to 27,145.13 and 49,091.06

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Solution

The third proportional to 27,145.13 and 49,091.06 is: 88,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.13 : 49,091.06 = 49,091.06 : x
  2. Step 2: Convert to fraction form
    27,145.13/49,091.06 = 49,091.06/x
  3. Step 3: Cross multiply
    27,145.13x = 49,091.06 × 49,091.06
  4. Step 4: Simplify right side
    27,145.13x = 2,409,932,417.38
  5. Step 5: Solve for x
    x = 2,409,932,417.38/27,145.13
  6. Step 6: Final answer
    x = 88,779.57

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.