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Finding the Third Proportional to 37,575 and 55,243.50

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Solution

The third proportional to 37,575 and 55,243.50 is: 81,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,575 : 55,243.50 = 55,243.50 : x
  2. Step 2: Convert to fraction form
    37,575/55,243.50 = 55,243.50/x
  3. Step 3: Cross multiply
    37,575x = 55,243.50 × 55,243.50
  4. Step 4: Simplify right side
    37,575x = 3,051,844,292.25
  5. Step 5: Solve for x
    x = 3,051,844,292.25/37,575
  6. Step 6: Final answer
    x = 81,220.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.