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Finding the Third Proportional to 21,586.50 and 52,508.25

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Solution

The third proportional to 21,586.50 and 52,508.25 is: 127,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.50 : 52,508.25 = 52,508.25 : x
  2. Step 2: Convert to fraction form
    21,586.50/52,508.25 = 52,508.25/x
  3. Step 3: Cross multiply
    21,586.50x = 52,508.25 × 52,508.25
  4. Step 4: Simplify right side
    21,586.50x = 2,757,116,318.06
  5. Step 5: Solve for x
    x = 2,757,116,318.06/21,586.50
  6. Step 6: Final answer
    x = 127,724.10

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.