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Finding the Third Proportional to 24,823.88 and 53,201.25

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Solution

The third proportional to 24,823.88 and 53,201.25 is: 114,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.88 : 53,201.25 = 53,201.25 : x
  2. Step 2: Convert to fraction form
    24,823.88/53,201.25 = 53,201.25/x
  3. Step 3: Cross multiply
    24,823.88x = 53,201.25 × 53,201.25
  4. Step 4: Simplify right side
    24,823.88x = 2,830,373,001.56
  5. Step 5: Solve for x
    x = 2,830,373,001.56/24,823.88
  6. Step 6: Final answer
    x = 114,018.18

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