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Finding the Third Proportional to 19,876.50 and 42,510.94

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Solution

The third proportional to 19,876.50 and 42,510.94 is: 90,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.50 : 42,510.94 = 42,510.94 : x
  2. Step 2: Convert to fraction form
    19,876.50/42,510.94 = 42,510.94/x
  3. Step 3: Cross multiply
    19,876.50x = 42,510.94 × 42,510.94
  4. Step 4: Simplify right side
    19,876.50x = 1,807,179,807.13
  5. Step 5: Solve for x
    x = 1,807,179,807.13/19,876.50
  6. Step 6: Final answer
    x = 90,920.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.