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Finding the Third Proportional to 30,398.82 and 43,303.64

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Solution

The third proportional to 30,398.82 and 43,303.64 is: 61,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.82 : 43,303.64 = 43,303.64 : x
  2. Step 2: Convert to fraction form
    30,398.82/43,303.64 = 43,303.64/x
  3. Step 3: Cross multiply
    30,398.82x = 43,303.64 × 43,303.64
  4. Step 4: Simplify right side
    30,398.82x = 1,875,205,338.95
  5. Step 5: Solve for x
    x = 1,875,205,338.95/30,398.82
  6. Step 6: Final answer
    x = 61,686.78

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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.