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Finding the Third Proportional to 37,387.50 and 57,466.88

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Solution

The third proportional to 37,387.50 and 57,466.88 is: 88,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,387.50 : 57,466.88 = 57,466.88 : x
  2. Step 2: Convert to fraction form
    37,387.50/57,466.88 = 57,466.88/x
  3. Step 3: Cross multiply
    37,387.50x = 57,466.88 × 57,466.88
  4. Step 4: Simplify right side
    37,387.50x = 3,302,441,722.27
  5. Step 5: Solve for x
    x = 3,302,441,722.27/37,387.50
  6. Step 6: Final answer
    x = 88,330.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.