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Finding the Third Proportional to 22,778.72 and 35,652.66

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Solution

The third proportional to 22,778.72 and 35,652.66 is: 55,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.72 : 35,652.66 = 35,652.66 : x
  2. Step 2: Convert to fraction form
    22,778.72/35,652.66 = 35,652.66/x
  3. Step 3: Cross multiply
    22,778.72x = 35,652.66 × 35,652.66
  4. Step 4: Simplify right side
    22,778.72x = 1,271,111,897.68
  5. Step 5: Solve for x
    x = 1,271,111,897.68/22,778.72
  6. Step 6: Final answer
    x = 55,802.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.