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Finding the Third Proportional to 21,915 and 48,062

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Solution

The third proportional to 21,915 and 48,062 is: 105,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,915 : 48,062 = 48,062 : x
  2. Step 2: Convert to fraction form
    21,915/48,062 = 48,062/x
  3. Step 3: Cross multiply
    21,915x = 48,062 × 48,062
  4. Step 4: Simplify right side
    21,915x = 2,309,955,844
  5. Step 5: Solve for x
    x = 2,309,955,844/21,915
  6. Step 6: Final answer
    x = 105,405.24

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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.