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Finding the Third Proportional to 47,469 and 112,030.50

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Solution

The third proportional to 47,469 and 112,030.50 is: 264,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469 : 112,030.50 = 112,030.50 : x
  2. Step 2: Convert to fraction form
    47,469/112,030.50 = 112,030.50/x
  3. Step 3: Cross multiply
    47,469x = 112,030.50 × 112,030.50
  4. Step 4: Simplify right side
    47,469x = 12,550,832,930.25
  5. Step 5: Solve for x
    x = 12,550,832,930.25/47,469
  6. Step 6: Final answer
    x = 264,400.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.