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Finding the Third Proportional to 28,864 and 46,108.75

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Solution

The third proportional to 28,864 and 46,108.75 is: 73,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,864 : 46,108.75 = 46,108.75 : x
  2. Step 2: Convert to fraction form
    28,864/46,108.75 = 46,108.75/x
  3. Step 3: Cross multiply
    28,864x = 46,108.75 × 46,108.75
  4. Step 4: Simplify right side
    28,864x = 2,126,016,826.56
  5. Step 5: Solve for x
    x = 2,126,016,826.56/28,864
  6. Step 6: Final answer
    x = 73,656.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.