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Finding the Third Proportional to 37,908.19 and 56,123.06

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Solution

The third proportional to 37,908.19 and 56,123.06 is: 83,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,908.19 : 56,123.06 = 56,123.06 : x
  2. Step 2: Convert to fraction form
    37,908.19/56,123.06 = 56,123.06/x
  3. Step 3: Cross multiply
    37,908.19x = 56,123.06 × 56,123.06
  4. Step 4: Simplify right side
    37,908.19x = 3,149,798,144.38
  5. Step 5: Solve for x
    x = 3,149,798,144.38/37,908.19
  6. Step 6: Final answer
    x = 83,090.18

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.