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Finding the Third Proportional to 37,395.78 and 57,477.63

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Solution

The third proportional to 37,395.78 and 57,477.63 is: 88,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,395.78 : 57,477.63 = 57,477.63 : x
  2. Step 2: Convert to fraction form
    37,395.78/57,477.63 = 57,477.63/x
  3. Step 3: Cross multiply
    37,395.78x = 57,477.63 × 57,477.63
  4. Step 4: Simplify right side
    37,395.78x = 3,303,677,684.36
  5. Step 5: Solve for x
    x = 3,303,677,684.36/37,395.78
  6. Step 6: Final answer
    x = 88,343.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.