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Finding the Third Proportional to 37,570.50 and 58,509

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Solution

The third proportional to 37,570.50 and 58,509 is: 91,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,570.50 : 58,509 = 58,509 : x
  2. Step 2: Convert to fraction form
    37,570.50/58,509 = 58,509/x
  3. Step 3: Cross multiply
    37,570.50x = 58,509 × 58,509
  4. Step 4: Simplify right side
    37,570.50x = 3,423,303,081
  5. Step 5: Solve for x
    x = 3,423,303,081/37,570.50
  6. Step 6: Final answer
    x = 91,116.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.