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Finding the Third Proportional to 19,846.13 and 42,808.13

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Solution

The third proportional to 19,846.13 and 42,808.13 is: 92,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.13 : 42,808.13 = 42,808.13 : x
  2. Step 2: Convert to fraction form
    19,846.13/42,808.13 = 42,808.13/x
  3. Step 3: Cross multiply
    19,846.13x = 42,808.13 × 42,808.13
  4. Step 4: Simplify right side
    19,846.13x = 1,832,535,566.02
  5. Step 5: Solve for x
    x = 1,832,535,566.02/19,846.13
  6. Step 6: Final answer
    x = 92,337.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.