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Finding the Third Proportional to 22,588 and 48,440

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Solution

The third proportional to 22,588 and 48,440 is: 103,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588 : 48,440 = 48,440 : x
  2. Step 2: Convert to fraction form
    22,588/48,440 = 48,440/x
  3. Step 3: Cross multiply
    22,588x = 48,440 × 48,440
  4. Step 4: Simplify right side
    22,588x = 2,346,433,600
  5. Step 5: Solve for x
    x = 2,346,433,600/22,588
  6. Step 6: Final answer
    x = 103,879.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.