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Finding the Third Proportional to 37,176.47 and 52,996.78

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Solution

The third proportional to 37,176.47 and 52,996.78 is: 75,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.47 : 52,996.78 = 52,996.78 : x
  2. Step 2: Convert to fraction form
    37,176.47/52,996.78 = 52,996.78/x
  3. Step 3: Cross multiply
    37,176.47x = 52,996.78 × 52,996.78
  4. Step 4: Simplify right side
    37,176.47x = 2,808,658,822.86
  5. Step 5: Solve for x
    x = 2,808,658,822.86/37,176.47
  6. Step 6: Final answer
    x = 75,549.37

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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.