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Finding the Third Proportional to 19,863 and 42,952.50

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Solution

The third proportional to 19,863 and 42,952.50 is: 92,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863 : 42,952.50 = 42,952.50 : x
  2. Step 2: Convert to fraction form
    19,863/42,952.50 = 42,952.50/x
  3. Step 3: Cross multiply
    19,863x = 42,952.50 × 42,952.50
  4. Step 4: Simplify right side
    19,863x = 1,844,917,256.25
  5. Step 5: Solve for x
    x = 1,844,917,256.25/19,863
  6. Step 6: Final answer
    x = 92,882.11

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