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Finding the Third Proportional to 4,706.81 and 10,039.13

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Solution

The third proportional to 4,706.81 and 10,039.13 is: 21,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.81 : 10,039.13 = 10,039.13 : x
  2. Step 2: Convert to fraction form
    4,706.81/10,039.13 = 10,039.13/x
  3. Step 3: Cross multiply
    4,706.81x = 10,039.13 × 10,039.13
  4. Step 4: Simplify right side
    4,706.81x = 100,784,030.77
  5. Step 5: Solve for x
    x = 100,784,030.77/4,706.81
  6. Step 6: Final answer
    x = 21,412.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.