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Finding the Third Proportional to 22,484 and 32,997

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Solution

The third proportional to 22,484 and 32,997 is: 48,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484 : 32,997 = 32,997 : x
  2. Step 2: Convert to fraction form
    22,484/32,997 = 32,997/x
  3. Step 3: Cross multiply
    22,484x = 32,997 × 32,997
  4. Step 4: Simplify right side
    22,484x = 1,088,802,009
  5. Step 5: Solve for x
    x = 1,088,802,009/22,484
  6. Step 6: Final answer
    x = 48,425.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.