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Finding the Third Proportional to 22,600.50 and 46,992

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Solution

The third proportional to 22,600.50 and 46,992 is: 97,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,600.50 : 46,992 = 46,992 : x
  2. Step 2: Convert to fraction form
    22,600.50/46,992 = 46,992/x
  3. Step 3: Cross multiply
    22,600.50x = 46,992 × 46,992
  4. Step 4: Simplify right side
    22,600.50x = 2,208,248,064
  5. Step 5: Solve for x
    x = 2,208,248,064/22,600.50
  6. Step 6: Final answer
    x = 97,707.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.