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Finding the Third Proportional to 37,486.55 and 42,561.07

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Solution

The third proportional to 37,486.55 and 42,561.07 is: 48,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,486.55 : 42,561.07 = 42,561.07 : x
  2. Step 2: Convert to fraction form
    37,486.55/42,561.07 = 42,561.07/x
  3. Step 3: Cross multiply
    37,486.55x = 42,561.07 × 42,561.07
  4. Step 4: Simplify right side
    37,486.55x = 1,811,444,706.15
  5. Step 5: Solve for x
    x = 1,811,444,706.15/37,486.55
  6. Step 6: Final answer
    x = 48,322.53

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.