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Finding the Third Proportional to 18,776 and 28,871

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Solution

The third proportional to 18,776 and 28,871 is: 44,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,776 : 28,871 = 28,871 : x
  2. Step 2: Convert to fraction form
    18,776/28,871 = 28,871/x
  3. Step 3: Cross multiply
    18,776x = 28,871 × 28,871
  4. Step 4: Simplify right side
    18,776x = 833,534,641
  5. Step 5: Solve for x
    x = 833,534,641/18,776
  6. Step 6: Final answer
    x = 44,393.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.