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Finding the Third Proportional to 19,497.38 and 31,001.06

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Solution

The third proportional to 19,497.38 and 31,001.06 is: 49,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.38 : 31,001.06 = 31,001.06 : x
  2. Step 2: Convert to fraction form
    19,497.38/31,001.06 = 31,001.06/x
  3. Step 3: Cross multiply
    19,497.38x = 31,001.06 × 31,001.06
  4. Step 4: Simplify right side
    19,497.38x = 961,065,876.13
  5. Step 5: Solve for x
    x = 961,065,876.13/19,497.38
  6. Step 6: Final answer
    x = 49,292.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.