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Finding the Third Proportional to 37,172.16 and 52,990.22

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Solution

The third proportional to 37,172.16 and 52,990.22 is: 75,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172.16 : 52,990.22 = 52,990.22 : x
  2. Step 2: Convert to fraction form
    37,172.16/52,990.22 = 52,990.22/x
  3. Step 3: Cross multiply
    37,172.16x = 52,990.22 × 52,990.22
  4. Step 4: Simplify right side
    37,172.16x = 2,807,963,283.17
  5. Step 5: Solve for x
    x = 2,807,963,283.17/37,172.16
  6. Step 6: Final answer
    x = 75,539.42

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.