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Finding the Third Proportional to 46,224 and 96,002.50

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Solution

The third proportional to 46,224 and 96,002.50 is: 199,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,224 : 96,002.50 = 96,002.50 : x
  2. Step 2: Convert to fraction form
    46,224/96,002.50 = 96,002.50/x
  3. Step 3: Cross multiply
    46,224x = 96,002.50 × 96,002.50
  4. Step 4: Simplify right side
    46,224x = 9,216,480,006.25
  5. Step 5: Solve for x
    x = 9,216,480,006.25/46,224
  6. Step 6: Final answer
    x = 199,387.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.