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Finding the Third Proportional to 31,901.25 and 45,664.88

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Solution

The third proportional to 31,901.25 and 45,664.88 is: 65,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.25 : 45,664.88 = 45,664.88 : x
  2. Step 2: Convert to fraction form
    31,901.25/45,664.88 = 45,664.88/x
  3. Step 3: Cross multiply
    31,901.25x = 45,664.88 × 45,664.88
  4. Step 4: Simplify right side
    31,901.25x = 2,085,280,808.77
  5. Step 5: Solve for x
    x = 2,085,280,808.77/31,901.25
  6. Step 6: Final answer
    x = 65,366.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.