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Finding the Third Proportional to 5,102.64 and 7,730.67

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Solution

The third proportional to 5,102.64 and 7,730.67 is: 11,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.64 : 7,730.67 = 7,730.67 : x
  2. Step 2: Convert to fraction form
    5,102.64/7,730.67 = 7,730.67/x
  3. Step 3: Cross multiply
    5,102.64x = 7,730.67 × 7,730.67
  4. Step 4: Simplify right side
    5,102.64x = 59,763,332.94
  5. Step 5: Solve for x
    x = 59,763,332.94/5,102.64
  6. Step 6: Final answer
    x = 11,712.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.