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Finding the Third Proportional to 5,196 and 6,312

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Solution

The third proportional to 5,196 and 6,312 is: 7,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196 : 6,312 = 6,312 : x
  2. Step 2: Convert to fraction form
    5,196/6,312 = 6,312/x
  3. Step 3: Cross multiply
    5,196x = 6,312 × 6,312
  4. Step 4: Simplify right side
    5,196x = 39,841,344
  5. Step 5: Solve for x
    x = 39,841,344/5,196
  6. Step 6: Final answer
    x = 7,667.70

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.