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Finding the Third Proportional to 27,159.75 and 36,547.88

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Solution

The third proportional to 27,159.75 and 36,547.88 is: 49,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159.75 : 36,547.88 = 36,547.88 : x
  2. Step 2: Convert to fraction form
    27,159.75/36,547.88 = 36,547.88/x
  3. Step 3: Cross multiply
    27,159.75x = 36,547.88 × 36,547.88
  4. Step 4: Simplify right side
    27,159.75x = 1,335,747,167.02
  5. Step 5: Solve for x
    x = 1,335,747,167.02/27,159.75
  6. Step 6: Final answer
    x = 49,181.13

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.