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Finding the Third Proportional to 37,135.27 and 55,880.93

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Solution

The third proportional to 37,135.27 and 55,880.93 is: 84,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,135.27 : 55,880.93 = 55,880.93 : x
  2. Step 2: Convert to fraction form
    37,135.27/55,880.93 = 55,880.93/x
  3. Step 3: Cross multiply
    37,135.27x = 55,880.93 × 55,880.93
  4. Step 4: Simplify right side
    37,135.27x = 3,122,678,302.74
  5. Step 5: Solve for x
    x = 3,122,678,302.74/37,135.27
  6. Step 6: Final answer
    x = 84,089.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.