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Finding the Third Proportional to 38,346 and 83,871

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Solution

The third proportional to 38,346 and 83,871 is: 183,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346 : 83,871 = 83,871 : x
  2. Step 2: Convert to fraction form
    38,346/83,871 = 83,871/x
  3. Step 3: Cross multiply
    38,346x = 83,871 × 83,871
  4. Step 4: Simplify right side
    38,346x = 7,034,344,641
  5. Step 5: Solve for x
    x = 7,034,344,641/38,346
  6. Step 6: Final answer
    x = 183,444.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.