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Finding the Third Proportional to 31,875.75 and 69,813

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Solution

The third proportional to 31,875.75 and 69,813 is: 152,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.75 : 69,813 = 69,813 : x
  2. Step 2: Convert to fraction form
    31,875.75/69,813 = 69,813/x
  3. Step 3: Cross multiply
    31,875.75x = 69,813 × 69,813
  4. Step 4: Simplify right side
    31,875.75x = 4,873,854,969
  5. Step 5: Solve for x
    x = 4,873,854,969/31,875.75
  6. Step 6: Final answer
    x = 152,901.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.