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Finding the Third Proportional to 19,711.13 and 43,795.13

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Solution

The third proportional to 19,711.13 and 43,795.13 is: 97,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.13 : 43,795.13 = 43,795.13 : x
  2. Step 2: Convert to fraction form
    19,711.13/43,795.13 = 43,795.13/x
  3. Step 3: Cross multiply
    19,711.13x = 43,795.13 × 43,795.13
  4. Step 4: Simplify right side
    19,711.13x = 1,918,012,973.77
  5. Step 5: Solve for x
    x = 1,918,012,973.77/19,711.13
  6. Step 6: Final answer
    x = 97,306.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.