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Finding the Third Proportional to 31,497.19 and 45,382.78

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Solution

The third proportional to 31,497.19 and 45,382.78 is: 65,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.19 : 45,382.78 = 45,382.78 : x
  2. Step 2: Convert to fraction form
    31,497.19/45,382.78 = 45,382.78/x
  3. Step 3: Cross multiply
    31,497.19x = 45,382.78 × 45,382.78
  4. Step 4: Simplify right side
    31,497.19x = 2,059,596,833.99
  5. Step 5: Solve for x
    x = 2,059,596,833.99/31,497.19
  6. Step 6: Final answer
    x = 65,389.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.