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Finding the Third Proportional to 11,587.50 and 24,920.16

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Solution

The third proportional to 11,587.50 and 24,920.16 is: 53,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.50 : 24,920.16 = 24,920.16 : x
  2. Step 2: Convert to fraction form
    11,587.50/24,920.16 = 24,920.16/x
  3. Step 3: Cross multiply
    11,587.50x = 24,920.16 × 24,920.16
  4. Step 4: Simplify right side
    11,587.50x = 621,014,187.52
  5. Step 5: Solve for x
    x = 621,014,187.52/11,587.50
  6. Step 6: Final answer
    x = 53,593.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.