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Finding the Third Proportional to 4,655.81 and 10,989.84

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Solution

The third proportional to 4,655.81 and 10,989.84 is: 25,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.81 : 10,989.84 = 10,989.84 : x
  2. Step 2: Convert to fraction form
    4,655.81/10,989.84 = 10,989.84/x
  3. Step 3: Cross multiply
    4,655.81x = 10,989.84 × 10,989.84
  4. Step 4: Simplify right side
    4,655.81x = 120,776,665.65
  5. Step 5: Solve for x
    x = 120,776,665.65/4,655.81
  6. Step 6: Final answer
    x = 25,941.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.