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Finding the Third Proportional to 37,811.81 and 59,788.13

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Solution

The third proportional to 37,811.81 and 59,788.13 is: 94,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,811.81 : 59,788.13 = 59,788.13 : x
  2. Step 2: Convert to fraction form
    37,811.81/59,788.13 = 59,788.13/x
  3. Step 3: Cross multiply
    37,811.81x = 59,788.13 × 59,788.13
  4. Step 4: Simplify right side
    37,811.81x = 3,574,619,891.02
  5. Step 5: Solve for x
    x = 3,574,619,891.02/37,811.81
  6. Step 6: Final answer
    x = 94,537.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.