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Finding the Third Proportional to 46,815 and 70,150.50

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Solution

The third proportional to 46,815 and 70,150.50 is: 105,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,815 : 70,150.50 = 70,150.50 : x
  2. Step 2: Convert to fraction form
    46,815/70,150.50 = 70,150.50/x
  3. Step 3: Cross multiply
    46,815x = 70,150.50 × 70,150.50
  4. Step 4: Simplify right side
    46,815x = 4,921,092,650.25
  5. Step 5: Solve for x
    x = 4,921,092,650.25/46,815
  6. Step 6: Final answer
    x = 105,117.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.