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Finding the Third Proportional to 5,312 and 5,717

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Solution

The third proportional to 5,312 and 5,717 is: 6,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312 : 5,717 = 5,717 : x
  2. Step 2: Convert to fraction form
    5,312/5,717 = 5,717/x
  3. Step 3: Cross multiply
    5,312x = 5,717 × 5,717
  4. Step 4: Simplify right side
    5,312x = 32,684,089
  5. Step 5: Solve for x
    x = 32,684,089/5,312
  6. Step 6: Final answer
    x = 6,152.88

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.