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Finding the Third Proportional to 32,348 and 70,391

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Solution

The third proportional to 32,348 and 70,391 is: 153,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348 : 70,391 = 70,391 : x
  2. Step 2: Convert to fraction form
    32,348/70,391 = 70,391/x
  3. Step 3: Cross multiply
    32,348x = 70,391 × 70,391
  4. Step 4: Simplify right side
    32,348x = 4,954,892,881
  5. Step 5: Solve for x
    x = 4,954,892,881/32,348
  6. Step 6: Final answer
    x = 153,174.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.