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Finding the Third Proportional to 27,681.75 and 41,547.94

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Solution

The third proportional to 27,681.75 and 41,547.94 is: 62,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.75 : 41,547.94 = 41,547.94 : x
  2. Step 2: Convert to fraction form
    27,681.75/41,547.94 = 41,547.94/x
  3. Step 3: Cross multiply
    27,681.75x = 41,547.94 × 41,547.94
  4. Step 4: Simplify right side
    27,681.75x = 1,726,231,110.50
  5. Step 5: Solve for x
    x = 1,726,231,110.50/27,681.75
  6. Step 6: Final answer
    x = 62,359.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.