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Finding the Third Proportional to 3,564.56 and 4,730.63

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Solution

The third proportional to 3,564.56 and 4,730.63 is: 6,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.56 : 4,730.63 = 4,730.63 : x
  2. Step 2: Convert to fraction form
    3,564.56/4,730.63 = 4,730.63/x
  3. Step 3: Cross multiply
    3,564.56x = 4,730.63 × 4,730.63
  4. Step 4: Simplify right side
    3,564.56x = 22,378,812.89
  5. Step 5: Solve for x
    x = 22,378,812.89/3,564.56
  6. Step 6: Final answer
    x = 6,278.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.