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Finding the Third Proportional to 37,543.50 and 56,173.50

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Solution

The third proportional to 37,543.50 and 56,173.50 is: 84,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543.50 : 56,173.50 = 56,173.50 : x
  2. Step 2: Convert to fraction form
    37,543.50/56,173.50 = 56,173.50/x
  3. Step 3: Cross multiply
    37,543.50x = 56,173.50 × 56,173.50
  4. Step 4: Simplify right side
    37,543.50x = 3,155,462,102.25
  5. Step 5: Solve for x
    x = 3,155,462,102.25/37,543.50
  6. Step 6: Final answer
    x = 84,048.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.