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Finding the Third Proportional to 30,385.13 and 64,536.75

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Solution

The third proportional to 30,385.13 and 64,536.75 is: 137,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.13 : 64,536.75 = 64,536.75 : x
  2. Step 2: Convert to fraction form
    30,385.13/64,536.75 = 64,536.75/x
  3. Step 3: Cross multiply
    30,385.13x = 64,536.75 × 64,536.75
  4. Step 4: Simplify right side
    30,385.13x = 4,164,992,100.56
  5. Step 5: Solve for x
    x = 4,164,992,100.56/30,385.13
  6. Step 6: Final answer
    x = 137,073.39

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.