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Finding the Third Proportional to 5,215 and 5,953

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Solution

The third proportional to 5,215 and 5,953 is: 6,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 5,953 = 5,953 : x
  2. Step 2: Convert to fraction form
    5,215/5,953 = 5,953/x
  3. Step 3: Cross multiply
    5,215x = 5,953 × 5,953
  4. Step 4: Simplify right side
    5,215x = 35,438,209
  5. Step 5: Solve for x
    x = 35,438,209/5,215
  6. Step 6: Final answer
    x = 6,795.44

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.