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Finding the Third Proportional to 29,850 and 40,392

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Solution

The third proportional to 29,850 and 40,392 is: 54,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850 : 40,392 = 40,392 : x
  2. Step 2: Convert to fraction form
    29,850/40,392 = 40,392/x
  3. Step 3: Cross multiply
    29,850x = 40,392 × 40,392
  4. Step 4: Simplify right side
    29,850x = 1,631,513,664
  5. Step 5: Solve for x
    x = 1,631,513,664/29,850
  6. Step 6: Final answer
    x = 54,657.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.