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Finding the Third Proportional to 37,197 and 54,153

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Solution

The third proportional to 37,197 and 54,153 is: 78,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,197 : 54,153 = 54,153 : x
  2. Step 2: Convert to fraction form
    37,197/54,153 = 54,153/x
  3. Step 3: Cross multiply
    37,197x = 54,153 × 54,153
  4. Step 4: Simplify right side
    37,197x = 2,932,547,409
  5. Step 5: Solve for x
    x = 2,932,547,409/37,197
  6. Step 6: Final answer
    x = 78,838.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.