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Finding the Third Proportional to 22,646 and 48,772

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Solution

The third proportional to 22,646 and 48,772 is: 105,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646 : 48,772 = 48,772 : x
  2. Step 2: Convert to fraction form
    22,646/48,772 = 48,772/x
  3. Step 3: Cross multiply
    22,646x = 48,772 × 48,772
  4. Step 4: Simplify right side
    22,646x = 2,378,707,984
  5. Step 5: Solve for x
    x = 2,378,707,984/22,646
  6. Step 6: Final answer
    x = 105,038.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.