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Finding the Third Proportional to 5,971 and 8,953

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Solution

The third proportional to 5,971 and 8,953 is: 13,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 8,953 = 8,953 : x
  2. Step 2: Convert to fraction form
    5,971/8,953 = 8,953/x
  3. Step 3: Cross multiply
    5,971x = 8,953 × 8,953
  4. Step 4: Simplify right side
    5,971x = 80,156,209
  5. Step 5: Solve for x
    x = 80,156,209/5,971
  6. Step 6: Final answer
    x = 13,424.25

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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.