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Finding the Third Proportional to 2,160.11 and 4,661.93

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Solution

The third proportional to 2,160.11 and 4,661.93 is: 10,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.11 : 4,661.93 = 4,661.93 : x
  2. Step 2: Convert to fraction form
    2,160.11/4,661.93 = 4,661.93/x
  3. Step 3: Cross multiply
    2,160.11x = 4,661.93 × 4,661.93
  4. Step 4: Simplify right side
    2,160.11x = 21,733,588.41
  5. Step 5: Solve for x
    x = 21,733,588.41/2,160.11
  6. Step 6: Final answer
    x = 10,061.36

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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.