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Finding the Third Proportional to 7,278.19 and 8,623.13

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Solution

The third proportional to 7,278.19 and 8,623.13 is: 10,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.19 : 8,623.13 = 8,623.13 : x
  2. Step 2: Convert to fraction form
    7,278.19/8,623.13 = 8,623.13/x
  3. Step 3: Cross multiply
    7,278.19x = 8,623.13 × 8,623.13
  4. Step 4: Simplify right side
    7,278.19x = 74,358,284.77
  5. Step 5: Solve for x
    x = 74,358,284.77/7,278.19
  6. Step 6: Final answer
    x = 10,216.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.