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Finding the Third Proportional to 37,065 and 54,361

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Solution

The third proportional to 37,065 and 54,361 is: 79,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,065 : 54,361 = 54,361 : x
  2. Step 2: Convert to fraction form
    37,065/54,361 = 54,361/x
  3. Step 3: Cross multiply
    37,065x = 54,361 × 54,361
  4. Step 4: Simplify right side
    37,065x = 2,955,118,321
  5. Step 5: Solve for x
    x = 2,955,118,321/37,065
  6. Step 6: Final answer
    x = 79,728.00

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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.