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Finding the Third Proportional to 46,473.75 and 100,602

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Solution

The third proportional to 46,473.75 and 100,602 is: 217,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,473.75 : 100,602 = 100,602 : x
  2. Step 2: Convert to fraction form
    46,473.75/100,602 = 100,602/x
  3. Step 3: Cross multiply
    46,473.75x = 100,602 × 100,602
  4. Step 4: Simplify right side
    46,473.75x = 10,120,762,404
  5. Step 5: Solve for x
    x = 10,120,762,404/46,473.75
  6. Step 6: Final answer
    x = 217,773.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.