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Finding the Third Proportional to 39,753 and 53,797.50

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Solution

The third proportional to 39,753 and 53,797.50 is: 72,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753 : 53,797.50 = 53,797.50 : x
  2. Step 2: Convert to fraction form
    39,753/53,797.50 = 53,797.50/x
  3. Step 3: Cross multiply
    39,753x = 53,797.50 × 53,797.50
  4. Step 4: Simplify right side
    39,753x = 2,894,171,006.25
  5. Step 5: Solve for x
    x = 2,894,171,006.25/39,753
  6. Step 6: Final answer
    x = 72,803.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.