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Finding the Third Proportional to 21,385.90 and 31,372.63

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Solution

The third proportional to 21,385.90 and 31,372.63 is: 46,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.90 : 31,372.63 = 31,372.63 : x
  2. Step 2: Convert to fraction form
    21,385.90/31,372.63 = 31,372.63/x
  3. Step 3: Cross multiply
    21,385.90x = 31,372.63 × 31,372.63
  4. Step 4: Simplify right side
    21,385.90x = 984,241,844.49
  5. Step 5: Solve for x
    x = 984,241,844.49/21,385.90
  6. Step 6: Final answer
    x = 46,022.94

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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.