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Finding the Third Proportional to 22,303.69 and 32,839.17

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Solution

The third proportional to 22,303.69 and 32,839.17 is: 48,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.69 : 32,839.17 = 32,839.17 : x
  2. Step 2: Convert to fraction form
    22,303.69/32,839.17 = 32,839.17/x
  3. Step 3: Cross multiply
    22,303.69x = 32,839.17 × 32,839.17
  4. Step 4: Simplify right side
    22,303.69x = 1,078,411,209.44
  5. Step 5: Solve for x
    x = 1,078,411,209.44/22,303.69
  6. Step 6: Final answer
    x = 48,351.25

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