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Finding the Third Proportional to 20,223.84 and 31,282.03

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Solution

The third proportional to 20,223.84 and 31,282.03 is: 48,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223.84 : 31,282.03 = 31,282.03 : x
  2. Step 2: Convert to fraction form
    20,223.84/31,282.03 = 31,282.03/x
  3. Step 3: Cross multiply
    20,223.84x = 31,282.03 × 31,282.03
  4. Step 4: Simplify right side
    20,223.84x = 978,565,479.13
  5. Step 5: Solve for x
    x = 978,565,479.13/20,223.84
  6. Step 6: Final answer
    x = 48,386.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.