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Finding the Third Proportional to 30,162.38 and 64,330.45

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Solution

The third proportional to 30,162.38 and 64,330.45 is: 137,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.38 : 64,330.45 = 64,330.45 : x
  2. Step 2: Convert to fraction form
    30,162.38/64,330.45 = 64,330.45/x
  3. Step 3: Cross multiply
    30,162.38x = 64,330.45 × 64,330.45
  4. Step 4: Simplify right side
    30,162.38x = 4,138,407,199.27
  5. Step 5: Solve for x
    x = 4,138,407,199.27/30,162.38
  6. Step 6: Final answer
    x = 137,204.29

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Why These Related Problems?

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