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Finding the Third Proportional to 24,689.25 and 53,480.25

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Solution

The third proportional to 24,689.25 and 53,480.25 is: 115,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.25 : 53,480.25 = 53,480.25 : x
  2. Step 2: Convert to fraction form
    24,689.25/53,480.25 = 53,480.25/x
  3. Step 3: Cross multiply
    24,689.25x = 53,480.25 × 53,480.25
  4. Step 4: Simplify right side
    24,689.25x = 2,860,137,140.06
  5. Step 5: Solve for x
    x = 2,860,137,140.06/24,689.25
  6. Step 6: Final answer
    x = 115,845.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.