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Finding the Third Proportional to 14,197.15 and 21,020.13

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Solution

The third proportional to 14,197.15 and 21,020.13 is: 31,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.15 : 21,020.13 = 21,020.13 : x
  2. Step 2: Convert to fraction form
    14,197.15/21,020.13 = 21,020.13/x
  3. Step 3: Cross multiply
    14,197.15x = 21,020.13 × 21,020.13
  4. Step 4: Simplify right side
    14,197.15x = 441,845,983.46
  5. Step 5: Solve for x
    x = 441,845,983.46/14,197.15
  6. Step 6: Final answer
    x = 31,122.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.