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Finding the Third Proportional to 15,851.25 and 24,530.25

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Solution

The third proportional to 15,851.25 and 24,530.25 is: 37,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.25 : 24,530.25 = 24,530.25 : x
  2. Step 2: Convert to fraction form
    15,851.25/24,530.25 = 24,530.25/x
  3. Step 3: Cross multiply
    15,851.25x = 24,530.25 × 24,530.25
  4. Step 4: Simplify right side
    15,851.25x = 601,733,165.06
  5. Step 5: Solve for x
    x = 601,733,165.06/15,851.25
  6. Step 6: Final answer
    x = 37,961.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.