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Finding the Third Proportional to 30,261 and 64,691.25

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Solution

The third proportional to 30,261 and 64,691.25 is: 138,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261 : 64,691.25 = 64,691.25 : x
  2. Step 2: Convert to fraction form
    30,261/64,691.25 = 64,691.25/x
  3. Step 3: Cross multiply
    30,261x = 64,691.25 × 64,691.25
  4. Step 4: Simplify right side
    30,261x = 4,184,957,826.56
  5. Step 5: Solve for x
    x = 4,184,957,826.56/30,261
  6. Step 6: Final answer
    x = 138,295.42

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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.