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Finding the Third Proportional to 15,985.50 and 24,774

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Solution

The third proportional to 15,985.50 and 24,774 is: 38,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.50 : 24,774 = 24,774 : x
  2. Step 2: Convert to fraction form
    15,985.50/24,774 = 24,774/x
  3. Step 3: Cross multiply
    15,985.50x = 24,774 × 24,774
  4. Step 4: Simplify right side
    15,985.50x = 613,751,076
  5. Step 5: Solve for x
    x = 613,751,076/15,985.50
  6. Step 6: Final answer
    x = 38,394.24

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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.