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Finding the Third Proportional to 31,569.75 and 47,076.19

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Solution

The third proportional to 31,569.75 and 47,076.19 is: 70,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.75 : 47,076.19 = 47,076.19 : x
  2. Step 2: Convert to fraction form
    31,569.75/47,076.19 = 47,076.19/x
  3. Step 3: Cross multiply
    31,569.75x = 47,076.19 × 47,076.19
  4. Step 4: Simplify right side
    31,569.75x = 2,216,167,429.54
  5. Step 5: Solve for x
    x = 2,216,167,429.54/31,569.75
  6. Step 6: Final answer
    x = 70,199.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.