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Finding the Third Proportional to 22,948.88 and 53,233.88

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Solution

The third proportional to 22,948.88 and 53,233.88 is: 123,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.88 : 53,233.88 = 53,233.88 : x
  2. Step 2: Convert to fraction form
    22,948.88/53,233.88 = 53,233.88/x
  3. Step 3: Cross multiply
    22,948.88x = 53,233.88 × 53,233.88
  4. Step 4: Simplify right side
    22,948.88x = 2,833,845,447.52
  5. Step 5: Solve for x
    x = 2,833,845,447.52/22,948.88
  6. Step 6: Final answer
    x = 123,485.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.