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Finding the Third Proportional to 32,967 and 48,726

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Solution

The third proportional to 32,967 and 48,726 is: 72,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 48,726 = 48,726 : x
  2. Step 2: Convert to fraction form
    32,967/48,726 = 48,726/x
  3. Step 3: Cross multiply
    32,967x = 48,726 × 48,726
  4. Step 4: Simplify right side
    32,967x = 2,374,223,076
  5. Step 5: Solve for x
    x = 2,374,223,076/32,967
  6. Step 6: Final answer
    x = 72,018.17

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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.