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Finding the Third Proportional to 35,029 and 48,169

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Solution

The third proportional to 35,029 and 48,169 is: 66,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,029 : 48,169 = 48,169 : x
  2. Step 2: Convert to fraction form
    35,029/48,169 = 48,169/x
  3. Step 3: Cross multiply
    35,029x = 48,169 × 48,169
  4. Step 4: Simplify right side
    35,029x = 2,320,252,561
  5. Step 5: Solve for x
    x = 2,320,252,561/35,029
  6. Step 6: Final answer
    x = 66,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.