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Finding the Third Proportional to 19,414.50 and 42,463.75

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Solution

The third proportional to 19,414.50 and 42,463.75 is: 92,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.50 : 42,463.75 = 42,463.75 : x
  2. Step 2: Convert to fraction form
    19,414.50/42,463.75 = 42,463.75/x
  3. Step 3: Cross multiply
    19,414.50x = 42,463.75 × 42,463.75
  4. Step 4: Simplify right side
    19,414.50x = 1,803,170,064.06
  5. Step 5: Solve for x
    x = 1,803,170,064.06/19,414.50
  6. Step 6: Final answer
    x = 92,877.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.