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Finding the Third Proportional to 34,733 and 74,871

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Solution

The third proportional to 34,733 and 74,871 is: 161,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,733 : 74,871 = 74,871 : x
  2. Step 2: Convert to fraction form
    34,733/74,871 = 74,871/x
  3. Step 3: Cross multiply
    34,733x = 74,871 × 74,871
  4. Step 4: Simplify right side
    34,733x = 5,605,666,641
  5. Step 5: Solve for x
    x = 5,605,666,641/34,733
  6. Step 6: Final answer
    x = 161,393.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.