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Finding the Third Proportional to 4,681.69 and 10,113.19

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Solution

The third proportional to 4,681.69 and 10,113.19 is: 21,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.69 : 10,113.19 = 10,113.19 : x
  2. Step 2: Convert to fraction form
    4,681.69/10,113.19 = 10,113.19/x
  3. Step 3: Cross multiply
    4,681.69x = 10,113.19 × 10,113.19
  4. Step 4: Simplify right side
    4,681.69x = 102,276,561.41
  5. Step 5: Solve for x
    x = 102,276,561.41/4,681.69
  6. Step 6: Final answer
    x = 21,846.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.