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Finding the Third Proportional to 15,144.19 and 31,043.81

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Solution

The third proportional to 15,144.19 and 31,043.81 is: 63,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.19 : 31,043.81 = 31,043.81 : x
  2. Step 2: Convert to fraction form
    15,144.19/31,043.81 = 31,043.81/x
  3. Step 3: Cross multiply
    15,144.19x = 31,043.81 × 31,043.81
  4. Step 4: Simplify right side
    15,144.19x = 963,718,294.54
  5. Step 5: Solve for x
    x = 963,718,294.54/15,144.19
  6. Step 6: Final answer
    x = 63,636.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.