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Finding the Third Proportional to 31,300.13 and 73,813.69

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Solution

The third proportional to 31,300.13 and 73,813.69 is: 174,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300.13 : 73,813.69 = 73,813.69 : x
  2. Step 2: Convert to fraction form
    31,300.13/73,813.69 = 73,813.69/x
  3. Step 3: Cross multiply
    31,300.13x = 73,813.69 × 73,813.69
  4. Step 4: Simplify right side
    31,300.13x = 5,448,460,462.35
  5. Step 5: Solve for x
    x = 5,448,460,462.35/31,300.13
  6. Step 6: Final answer
    x = 174,071.52

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.