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Finding the Third Proportional to 6,274.50 and 9,721.50

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Solution

The third proportional to 6,274.50 and 9,721.50 is: 15,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.50 : 9,721.50 = 9,721.50 : x
  2. Step 2: Convert to fraction form
    6,274.50/9,721.50 = 9,721.50/x
  3. Step 3: Cross multiply
    6,274.50x = 9,721.50 × 9,721.50
  4. Step 4: Simplify right side
    6,274.50x = 94,507,562.25
  5. Step 5: Solve for x
    x = 94,507,562.25/6,274.50
  6. Step 6: Final answer
    x = 15,062.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.