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Finding the Third Proportional to 19,717.17 and 27,666.40

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Solution

The third proportional to 19,717.17 and 27,666.40 is: 38,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,717.17 : 27,666.40 = 27,666.40 : x
  2. Step 2: Convert to fraction form
    19,717.17/27,666.40 = 27,666.40/x
  3. Step 3: Cross multiply
    19,717.17x = 27,666.40 × 27,666.40
  4. Step 4: Simplify right side
    19,717.17x = 765,429,926.72
  5. Step 5: Solve for x
    x = 765,429,926.72/19,717.17
  6. Step 6: Final answer
    x = 38,820.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.