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Finding the Third Proportional to 4,716 and 6,935.63

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Solution

The third proportional to 4,716 and 6,935.63 is: 10,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716 : 6,935.63 = 6,935.63 : x
  2. Step 2: Convert to fraction form
    4,716/6,935.63 = 6,935.63/x
  3. Step 3: Cross multiply
    4,716x = 6,935.63 × 6,935.63
  4. Step 4: Simplify right side
    4,716x = 48,102,894.14
  5. Step 5: Solve for x
    x = 48,102,894.14/4,716
  6. Step 6: Final answer
    x = 10,199.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.