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Finding the Third Proportional to 6,345 and 7,308

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Solution

The third proportional to 6,345 and 7,308 is: 8,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345 : 7,308 = 7,308 : x
  2. Step 2: Convert to fraction form
    6,345/7,308 = 7,308/x
  3. Step 3: Cross multiply
    6,345x = 7,308 × 7,308
  4. Step 4: Simplify right side
    6,345x = 53,406,864
  5. Step 5: Solve for x
    x = 53,406,864/6,345
  6. Step 6: Final answer
    x = 8,417.16

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.