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Finding the Third Proportional to 30,164.63 and 64,335.38

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Solution

The third proportional to 30,164.63 and 64,335.38 is: 137,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.63 : 64,335.38 = 64,335.38 : x
  2. Step 2: Convert to fraction form
    30,164.63/64,335.38 = 64,335.38/x
  3. Step 3: Cross multiply
    30,164.63x = 64,335.38 × 64,335.38
  4. Step 4: Simplify right side
    30,164.63x = 4,139,040,476.39
  5. Step 5: Solve for x
    x = 4,139,040,476.39/30,164.63
  6. Step 6: Final answer
    x = 137,215.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.