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Finding the Third Proportional to 6,249 and 9,133.50

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Solution

The third proportional to 6,249 and 9,133.50 is: 13,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249 : 9,133.50 = 9,133.50 : x
  2. Step 2: Convert to fraction form
    6,249/9,133.50 = 9,133.50/x
  3. Step 3: Cross multiply
    6,249x = 9,133.50 × 9,133.50
  4. Step 4: Simplify right side
    6,249x = 83,420,822.25
  5. Step 5: Solve for x
    x = 83,420,822.25/6,249
  6. Step 6: Final answer
    x = 13,349.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.