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Finding the Third Proportional to 10,384.50 and 22,521.75

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Solution

The third proportional to 10,384.50 and 22,521.75 is: 48,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.50 : 22,521.75 = 22,521.75 : x
  2. Step 2: Convert to fraction form
    10,384.50/22,521.75 = 22,521.75/x
  3. Step 3: Cross multiply
    10,384.50x = 22,521.75 × 22,521.75
  4. Step 4: Simplify right side
    10,384.50x = 507,229,223.06
  5. Step 5: Solve for x
    x = 507,229,223.06/10,384.50
  6. Step 6: Final answer
    x = 48,844.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.