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Finding the Third Proportional to 21,571.13 and 46,141.13

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Solution

The third proportional to 21,571.13 and 46,141.13 is: 98,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.13 : 46,141.13 = 46,141.13 : x
  2. Step 2: Convert to fraction form
    21,571.13/46,141.13 = 46,141.13/x
  3. Step 3: Cross multiply
    21,571.13x = 46,141.13 × 46,141.13
  4. Step 4: Simplify right side
    21,571.13x = 2,129,003,416.27
  5. Step 5: Solve for x
    x = 2,129,003,416.27/21,571.13
  6. Step 6: Final answer
    x = 98,696.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.