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Finding the Third Proportional to 22,426 and 32,989

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Solution

The third proportional to 22,426 and 32,989 is: 48,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426 : 32,989 = 32,989 : x
  2. Step 2: Convert to fraction form
    22,426/32,989 = 32,989/x
  3. Step 3: Cross multiply
    22,426x = 32,989 × 32,989
  4. Step 4: Simplify right side
    22,426x = 1,088,274,121
  5. Step 5: Solve for x
    x = 1,088,274,121/22,426
  6. Step 6: Final answer
    x = 48,527.34

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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.