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Finding the Third Proportional to 30,703.43 and 64,032.40

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Solution

The third proportional to 30,703.43 and 64,032.40 is: 133,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.43 : 64,032.40 = 64,032.40 : x
  2. Step 2: Convert to fraction form
    30,703.43/64,032.40 = 64,032.40/x
  3. Step 3: Cross multiply
    30,703.43x = 64,032.40 × 64,032.40
  4. Step 4: Simplify right side
    30,703.43x = 4,100,148,049.66
  5. Step 5: Solve for x
    x = 4,100,148,049.66/30,703.43
  6. Step 6: Final answer
    x = 133,540.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.