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Finding the Third Proportional to 27,151.88 and 65,404.13

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Solution

The third proportional to 27,151.88 and 65,404.13 is: 157,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151.88 : 65,404.13 = 65,404.13 : x
  2. Step 2: Convert to fraction form
    27,151.88/65,404.13 = 65,404.13/x
  3. Step 3: Cross multiply
    27,151.88x = 65,404.13 × 65,404.13
  4. Step 4: Simplify right side
    27,151.88x = 4,277,699,567.02
  5. Step 5: Solve for x
    x = 4,277,699,567.02/27,151.88
  6. Step 6: Final answer
    x = 157,547.11

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.