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Finding the Third Proportional to 31,476.09 and 72,488.04

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Solution

The third proportional to 31,476.09 and 72,488.04 is: 166,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476.09 : 72,488.04 = 72,488.04 : x
  2. Step 2: Convert to fraction form
    31,476.09/72,488.04 = 72,488.04/x
  3. Step 3: Cross multiply
    31,476.09x = 72,488.04 × 72,488.04
  4. Step 4: Simplify right side
    31,476.09x = 5,254,515,807.13
  5. Step 5: Solve for x
    x = 5,254,515,807.13/31,476.09
  6. Step 6: Final answer
    x = 166,936.72

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.