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Finding the Third Proportional to 7,508.32 and 10,621.76

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Solution

The third proportional to 7,508.32 and 10,621.76 is: 15,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.32 : 10,621.76 = 10,621.76 : x
  2. Step 2: Convert to fraction form
    7,508.32/10,621.76 = 10,621.76/x
  3. Step 3: Cross multiply
    7,508.32x = 10,621.76 × 10,621.76
  4. Step 4: Simplify right side
    7,508.32x = 112,821,739.03
  5. Step 5: Solve for x
    x = 112,821,739.03/7,508.32
  6. Step 6: Final answer
    x = 15,026.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.