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Finding the Third Proportional to 31,193.23 and 45,693.49

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Solution

The third proportional to 31,193.23 and 45,693.49 is: 66,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.23 : 45,693.49 = 45,693.49 : x
  2. Step 2: Convert to fraction form
    31,193.23/45,693.49 = 45,693.49/x
  3. Step 3: Cross multiply
    31,193.23x = 45,693.49 × 45,693.49
  4. Step 4: Simplify right side
    31,193.23x = 2,087,895,228.29
  5. Step 5: Solve for x
    x = 2,087,895,228.29/31,193.23
  6. Step 6: Final answer
    x = 66,934.25

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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.