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Finding the Third Proportional to 19,386 and 43,156.13

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Solution

The third proportional to 19,386 and 43,156.13 is: 96,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,386 : 43,156.13 = 43,156.13 : x
  2. Step 2: Convert to fraction form
    19,386/43,156.13 = 43,156.13/x
  3. Step 3: Cross multiply
    19,386x = 43,156.13 × 43,156.13
  4. Step 4: Simplify right side
    19,386x = 1,862,451,125.02
  5. Step 5: Solve for x
    x = 1,862,451,125.02/19,386
  6. Step 6: Final answer
    x = 96,071.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.