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Finding the Third Proportional to 28,699 and 60,871

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Solution

The third proportional to 28,699 and 60,871 is: 129,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,699 : 60,871 = 60,871 : x
  2. Step 2: Convert to fraction form
    28,699/60,871 = 60,871/x
  3. Step 3: Cross multiply
    28,699x = 60,871 × 60,871
  4. Step 4: Simplify right side
    28,699x = 3,705,278,641
  5. Step 5: Solve for x
    x = 3,705,278,641/28,699
  6. Step 6: Final answer
    x = 129,108.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.