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Finding the Third Proportional to 10,223.72 and 21,926.53

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Solution

The third proportional to 10,223.72 and 21,926.53 is: 47,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.72 : 21,926.53 = 21,926.53 : x
  2. Step 2: Convert to fraction form
    10,223.72/21,926.53 = 21,926.53/x
  3. Step 3: Cross multiply
    10,223.72x = 21,926.53 × 21,926.53
  4. Step 4: Simplify right side
    10,223.72x = 480,772,772.66
  5. Step 5: Solve for x
    x = 480,772,772.66/10,223.72
  6. Step 6: Final answer
    x = 47,025.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.