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Finding the Third Proportional to 37,046 and 57,449.50

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Solution

The third proportional to 37,046 and 57,449.50 is: 89,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,046 : 57,449.50 = 57,449.50 : x
  2. Step 2: Convert to fraction form
    37,046/57,449.50 = 57,449.50/x
  3. Step 3: Cross multiply
    37,046x = 57,449.50 × 57,449.50
  4. Step 4: Simplify right side
    37,046x = 3,300,445,050.25
  5. Step 5: Solve for x
    x = 3,300,445,050.25/37,046
  6. Step 6: Final answer
    x = 89,090.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.