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Finding the Third Proportional to 32,034 and 48,841

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Solution

The third proportional to 32,034 and 48,841 is: 74,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034 : 48,841 = 48,841 : x
  2. Step 2: Convert to fraction form
    32,034/48,841 = 48,841/x
  3. Step 3: Cross multiply
    32,034x = 48,841 × 48,841
  4. Step 4: Simplify right side
    32,034x = 2,385,443,281
  5. Step 5: Solve for x
    x = 2,385,443,281/32,034
  6. Step 6: Final answer
    x = 74,465.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.