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Finding the Third Proportional to 31,577.34 and 68,214.66

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Solution

The third proportional to 31,577.34 and 68,214.66 is: 147,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577.34 : 68,214.66 = 68,214.66 : x
  2. Step 2: Convert to fraction form
    31,577.34/68,214.66 = 68,214.66/x
  3. Step 3: Cross multiply
    31,577.34x = 68,214.66 × 68,214.66
  4. Step 4: Simplify right side
    31,577.34x = 4,653,239,327.31
  5. Step 5: Solve for x
    x = 4,653,239,327.31/31,577.34
  6. Step 6: Final answer
    x = 147,360.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.