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Finding the Third Proportional to 14,205 and 21,307

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Solution

The third proportional to 14,205 and 21,307 is: 31,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205 : 21,307 = 21,307 : x
  2. Step 2: Convert to fraction form
    14,205/21,307 = 21,307/x
  3. Step 3: Cross multiply
    14,205x = 21,307 × 21,307
  4. Step 4: Simplify right side
    14,205x = 453,988,249
  5. Step 5: Solve for x
    x = 453,988,249/14,205
  6. Step 6: Final answer
    x = 31,959.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.