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Finding the Third Proportional to 53,868 and 72,013.50

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Solution

The third proportional to 53,868 and 72,013.50 is: 96,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,868 : 72,013.50 = 72,013.50 : x
  2. Step 2: Convert to fraction form
    53,868/72,013.50 = 72,013.50/x
  3. Step 3: Cross multiply
    53,868x = 72,013.50 × 72,013.50
  4. Step 4: Simplify right side
    53,868x = 5,185,944,182.25
  5. Step 5: Solve for x
    x = 5,185,944,182.25/53,868
  6. Step 6: Final answer
    x = 96,271.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.