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Finding the Third Proportional to 5,213 and 6,113

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Solution

The third proportional to 5,213 and 6,113 is: 7,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 6,113 = 6,113 : x
  2. Step 2: Convert to fraction form
    5,213/6,113 = 6,113/x
  3. Step 3: Cross multiply
    5,213x = 6,113 × 6,113
  4. Step 4: Simplify right side
    5,213x = 37,368,769
  5. Step 5: Solve for x
    x = 37,368,769/5,213
  6. Step 6: Final answer
    x = 7,168.38

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.