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Finding the Third Proportional to 31,033.13 and 45,901.69

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Solution

The third proportional to 31,033.13 and 45,901.69 is: 67,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.13 : 45,901.69 = 45,901.69 : x
  2. Step 2: Convert to fraction form
    31,033.13/45,901.69 = 45,901.69/x
  3. Step 3: Cross multiply
    31,033.13x = 45,901.69 × 45,901.69
  4. Step 4: Simplify right side
    31,033.13x = 2,106,964,915.35
  5. Step 5: Solve for x
    x = 2,106,964,915.35/31,033.13
  6. Step 6: Final answer
    x = 67,894.06

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.