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Finding the Third Proportional to 31,208.91 and 45,717.19

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Solution

The third proportional to 31,208.91 and 45,717.19 is: 66,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.91 : 45,717.19 = 45,717.19 : x
  2. Step 2: Convert to fraction form
    31,208.91/45,717.19 = 45,717.19/x
  3. Step 3: Cross multiply
    31,208.91x = 45,717.19 × 45,717.19
  4. Step 4: Simplify right side
    31,208.91x = 2,090,061,232.91
  5. Step 5: Solve for x
    x = 2,090,061,232.91/31,208.91
  6. Step 6: Final answer
    x = 66,970.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.