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Finding the Third Proportional to 22,707 and 31,357.13

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Solution

The third proportional to 22,707 and 31,357.13 is: 43,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707 : 31,357.13 = 31,357.13 : x
  2. Step 2: Convert to fraction form
    22,707/31,357.13 = 31,357.13/x
  3. Step 3: Cross multiply
    22,707x = 31,357.13 × 31,357.13
  4. Step 4: Simplify right side
    22,707x = 983,269,288.27
  5. Step 5: Solve for x
    x = 983,269,288.27/22,707
  6. Step 6: Final answer
    x = 43,302.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.