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Finding the Third Proportional to 6,499 and 8,937

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Solution

The third proportional to 6,499 and 8,937 is: 12,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499 : 8,937 = 8,937 : x
  2. Step 2: Convert to fraction form
    6,499/8,937 = 8,937/x
  3. Step 3: Cross multiply
    6,499x = 8,937 × 8,937
  4. Step 4: Simplify right side
    6,499x = 79,869,969
  5. Step 5: Solve for x
    x = 79,869,969/6,499
  6. Step 6: Final answer
    x = 12,289.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.