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Finding the Third Proportional to 19,765.58 and 42,356.04

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Solution

The third proportional to 19,765.58 and 42,356.04 is: 90,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.58 : 42,356.04 = 42,356.04 : x
  2. Step 2: Convert to fraction form
    19,765.58/42,356.04 = 42,356.04/x
  3. Step 3: Cross multiply
    19,765.58x = 42,356.04 × 42,356.04
  4. Step 4: Simplify right side
    19,765.58x = 1,794,034,045.06
  5. Step 5: Solve for x
    x = 1,794,034,045.06/19,765.58
  6. Step 6: Final answer
    x = 90,765.56

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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.