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Finding the Third Proportional to 37,000.50 and 60,114

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Solution

The third proportional to 37,000.50 and 60,114 is: 97,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000.50 : 60,114 = 60,114 : x
  2. Step 2: Convert to fraction form
    37,000.50/60,114 = 60,114/x
  3. Step 3: Cross multiply
    37,000.50x = 60,114 × 60,114
  4. Step 4: Simplify right side
    37,000.50x = 3,613,692,996
  5. Step 5: Solve for x
    x = 3,613,692,996/37,000.50
  6. Step 6: Final answer
    x = 97,666.06

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.