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Finding the Third Proportional to 31,362.19 and 64,896.19

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Solution

The third proportional to 31,362.19 and 64,896.19 is: 134,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.19 : 64,896.19 = 64,896.19 : x
  2. Step 2: Convert to fraction form
    31,362.19/64,896.19 = 64,896.19/x
  3. Step 3: Cross multiply
    31,362.19x = 64,896.19 × 64,896.19
  4. Step 4: Simplify right side
    31,362.19x = 4,211,515,152.04
  5. Step 5: Solve for x
    x = 4,211,515,152.04/31,362.19
  6. Step 6: Final answer
    x = 134,286.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.