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Finding the Third Proportional to 35,965.31 and 54,447.66

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Solution

The third proportional to 35,965.31 and 54,447.66 is: 82,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.31 : 54,447.66 = 54,447.66 : x
  2. Step 2: Convert to fraction form
    35,965.31/54,447.66 = 54,447.66/x
  3. Step 3: Cross multiply
    35,965.31x = 54,447.66 × 54,447.66
  4. Step 4: Simplify right side
    35,965.31x = 2,964,547,271.12
  5. Step 5: Solve for x
    x = 2,964,547,271.12/35,965.31
  6. Step 6: Final answer
    x = 82,427.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.