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Finding the Third Proportional to 19,561.50 and 27,952.59

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Solution

The third proportional to 19,561.50 and 27,952.59 is: 39,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.50 : 27,952.59 = 27,952.59 : x
  2. Step 2: Convert to fraction form
    19,561.50/27,952.59 = 27,952.59/x
  3. Step 3: Cross multiply
    19,561.50x = 27,952.59 × 27,952.59
  4. Step 4: Simplify right side
    19,561.50x = 781,347,497.35
  5. Step 5: Solve for x
    x = 781,347,497.35/19,561.50
  6. Step 6: Final answer
    x = 39,943.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.