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Finding the Third Proportional to 34,672.50 and 53,793

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Solution

The third proportional to 34,672.50 and 53,793 is: 83,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,672.50 : 53,793 = 53,793 : x
  2. Step 2: Convert to fraction form
    34,672.50/53,793 = 53,793/x
  3. Step 3: Cross multiply
    34,672.50x = 53,793 × 53,793
  4. Step 4: Simplify right side
    34,672.50x = 2,893,686,849
  5. Step 5: Solve for x
    x = 2,893,686,849/34,672.50
  6. Step 6: Final answer
    x = 83,457.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.