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Finding the Third Proportional to 6,345 and 7,011

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Solution

The third proportional to 6,345 and 7,011 is: 7,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345 : 7,011 = 7,011 : x
  2. Step 2: Convert to fraction form
    6,345/7,011 = 7,011/x
  3. Step 3: Cross multiply
    6,345x = 7,011 × 7,011
  4. Step 4: Simplify right side
    6,345x = 49,154,121
  5. Step 5: Solve for x
    x = 49,154,121/6,345
  6. Step 6: Final answer
    x = 7,746.91

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.