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Finding the Third Proportional to 32,613.19 and 46,512.56

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Solution

The third proportional to 32,613.19 and 46,512.56 is: 66,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,613.19 : 46,512.56 = 46,512.56 : x
  2. Step 2: Convert to fraction form
    32,613.19/46,512.56 = 46,512.56/x
  3. Step 3: Cross multiply
    32,613.19x = 46,512.56 × 46,512.56
  4. Step 4: Simplify right side
    32,613.19x = 2,163,418,470.32
  5. Step 5: Solve for x
    x = 2,163,418,470.32/32,613.19
  6. Step 6: Final answer
    x = 66,335.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.