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Finding the Third Proportional to 5,332.08 and 8,225.93

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Solution

The third proportional to 5,332.08 and 8,225.93 is: 12,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.08 : 8,225.93 = 8,225.93 : x
  2. Step 2: Convert to fraction form
    5,332.08/8,225.93 = 8,225.93/x
  3. Step 3: Cross multiply
    5,332.08x = 8,225.93 × 8,225.93
  4. Step 4: Simplify right side
    5,332.08x = 67,665,919.22
  5. Step 5: Solve for x
    x = 67,665,919.22/5,332.08
  6. Step 6: Final answer
    x = 12,690.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.