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Finding the Third Proportional to 19,477.97 and 42,663.59

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Solution

The third proportional to 19,477.97 and 42,663.59 is: 93,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.97 : 42,663.59 = 42,663.59 : x
  2. Step 2: Convert to fraction form
    19,477.97/42,663.59 = 42,663.59/x
  3. Step 3: Cross multiply
    19,477.97x = 42,663.59 × 42,663.59
  4. Step 4: Simplify right side
    19,477.97x = 1,820,181,565.05
  5. Step 5: Solve for x
    x = 1,820,181,565.05/19,477.97
  6. Step 6: Final answer
    x = 93,448.22

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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.