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Finding the Third Proportional to 14,340 and 21,038

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Solution

The third proportional to 14,340 and 21,038 is: 30,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 21,038 = 21,038 : x
  2. Step 2: Convert to fraction form
    14,340/21,038 = 21,038/x
  3. Step 3: Cross multiply
    14,340x = 21,038 × 21,038
  4. Step 4: Simplify right side
    14,340x = 442,597,444
  5. Step 5: Solve for x
    x = 442,597,444/14,340
  6. Step 6: Final answer
    x = 30,864.54

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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.