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Finding the Third Proportional to 32,916 and 48,222

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Solution

The third proportional to 32,916 and 48,222 is: 70,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916 : 48,222 = 48,222 : x
  2. Step 2: Convert to fraction form
    32,916/48,222 = 48,222/x
  3. Step 3: Cross multiply
    32,916x = 48,222 × 48,222
  4. Step 4: Simplify right side
    32,916x = 2,325,361,284
  5. Step 5: Solve for x
    x = 2,325,361,284/32,916
  6. Step 6: Final answer
    x = 70,645.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.