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Finding the Third Proportional to 24,117.75 and 37,870.03

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Solution

The third proportional to 24,117.75 and 37,870.03 is: 59,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.75 : 37,870.03 = 37,870.03 : x
  2. Step 2: Convert to fraction form
    24,117.75/37,870.03 = 37,870.03/x
  3. Step 3: Cross multiply
    24,117.75x = 37,870.03 × 37,870.03
  4. Step 4: Simplify right side
    24,117.75x = 1,434,139,266.88
  5. Step 5: Solve for x
    x = 1,434,139,266.88/24,117.75
  6. Step 6: Final answer
    x = 59,464.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.