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Finding the Third Proportional to 30,259.20 and 64,636.10

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Solution

The third proportional to 30,259.20 and 64,636.10 is: 138,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.20 : 64,636.10 = 64,636.10 : x
  2. Step 2: Convert to fraction form
    30,259.20/64,636.10 = 64,636.10/x
  3. Step 3: Cross multiply
    30,259.20x = 64,636.10 × 64,636.10
  4. Step 4: Simplify right side
    30,259.20x = 4,177,825,625.20
  5. Step 5: Solve for x
    x = 4,177,825,625.20/30,259.20
  6. Step 6: Final answer
    x = 138,067.97

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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.