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Finding the Third Proportional to 19,470.38 and 42,035.63

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Solution

The third proportional to 19,470.38 and 42,035.63 is: 90,752.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470.38 : 42,035.63 = 42,035.63 : x
  2. Step 2: Convert to fraction form
    19,470.38/42,035.63 = 42,035.63/x
  3. Step 3: Cross multiply
    19,470.38x = 42,035.63 × 42,035.63
  4. Step 4: Simplify right side
    19,470.38x = 1,766,993,769.14
  5. Step 5: Solve for x
    x = 1,766,993,769.14/19,470.38
  6. Step 6: Final answer
    x = 90,752.94

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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.