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Finding the Third Proportional to 29,854.88 and 42,443.81

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Solution

The third proportional to 29,854.88 and 42,443.81 is: 60,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.88 : 42,443.81 = 42,443.81 : x
  2. Step 2: Convert to fraction form
    29,854.88/42,443.81 = 42,443.81/x
  3. Step 3: Cross multiply
    29,854.88x = 42,443.81 × 42,443.81
  4. Step 4: Simplify right side
    29,854.88x = 1,801,477,219.54
  5. Step 5: Solve for x
    x = 1,801,477,219.54/29,854.88
  6. Step 6: Final answer
    x = 60,341.14

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.