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Finding the Third Proportional to 32,673.65 and 48,403.39

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Solution

The third proportional to 32,673.65 and 48,403.39 is: 71,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,673.65 : 48,403.39 = 48,403.39 : x
  2. Step 2: Convert to fraction form
    32,673.65/48,403.39 = 48,403.39/x
  3. Step 3: Cross multiply
    32,673.65x = 48,403.39 × 48,403.39
  4. Step 4: Simplify right side
    32,673.65x = 2,342,888,460.34
  5. Step 5: Solve for x
    x = 2,342,888,460.34/32,673.65
  6. Step 6: Final answer
    x = 71,705.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.