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Finding the Third Proportional to 7,026.50 and 9,398.50

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Solution

The third proportional to 7,026.50 and 9,398.50 is: 12,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.50 : 9,398.50 = 9,398.50 : x
  2. Step 2: Convert to fraction form
    7,026.50/9,398.50 = 9,398.50/x
  3. Step 3: Cross multiply
    7,026.50x = 9,398.50 × 9,398.50
  4. Step 4: Simplify right side
    7,026.50x = 88,331,802.25
  5. Step 5: Solve for x
    x = 88,331,802.25/7,026.50
  6. Step 6: Final answer
    x = 12,571.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.