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Finding the Third Proportional to 27,838.69 and 49,182.19

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Solution

The third proportional to 27,838.69 and 49,182.19 is: 86,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.69 : 49,182.19 = 49,182.19 : x
  2. Step 2: Convert to fraction form
    27,838.69/49,182.19 = 49,182.19/x
  3. Step 3: Cross multiply
    27,838.69x = 49,182.19 × 49,182.19
  4. Step 4: Simplify right side
    27,838.69x = 2,418,887,567.29
  5. Step 5: Solve for x
    x = 2,418,887,567.29/27,838.69
  6. Step 6: Final answer
    x = 86,889.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.