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Finding the Third Proportional to 37,690.50 and 55,411.50

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Solution

The third proportional to 37,690.50 and 55,411.50 is: 81,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,690.50 : 55,411.50 = 55,411.50 : x
  2. Step 2: Convert to fraction form
    37,690.50/55,411.50 = 55,411.50/x
  3. Step 3: Cross multiply
    37,690.50x = 55,411.50 × 55,411.50
  4. Step 4: Simplify right side
    37,690.50x = 3,070,434,332.25
  5. Step 5: Solve for x
    x = 3,070,434,332.25/37,690.50
  6. Step 6: Final answer
    x = 81,464.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.