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Finding the Third Proportional to 37,482.75 and 58,016.25

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Solution

The third proportional to 37,482.75 and 58,016.25 is: 89,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,482.75 : 58,016.25 = 58,016.25 : x
  2. Step 2: Convert to fraction form
    37,482.75/58,016.25 = 58,016.25/x
  3. Step 3: Cross multiply
    37,482.75x = 58,016.25 × 58,016.25
  4. Step 4: Simplify right side
    37,482.75x = 3,365,885,264.06
  5. Step 5: Solve for x
    x = 3,365,885,264.06/37,482.75
  6. Step 6: Final answer
    x = 89,798.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.