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Finding the Third Proportional to 22,308 and 48,291

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Solution

The third proportional to 22,308 and 48,291 is: 104,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308 : 48,291 = 48,291 : x
  2. Step 2: Convert to fraction form
    22,308/48,291 = 48,291/x
  3. Step 3: Cross multiply
    22,308x = 48,291 × 48,291
  4. Step 4: Simplify right side
    22,308x = 2,332,020,681
  5. Step 5: Solve for x
    x = 2,332,020,681/22,308
  6. Step 6: Final answer
    x = 104,537.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.