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Finding the Third Proportional to 47,010 and 72,826

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Solution

The third proportional to 47,010 and 72,826 is: 112,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,010 : 72,826 = 72,826 : x
  2. Step 2: Convert to fraction form
    47,010/72,826 = 72,826/x
  3. Step 3: Cross multiply
    47,010x = 72,826 × 72,826
  4. Step 4: Simplify right side
    47,010x = 5,303,626,276
  5. Step 5: Solve for x
    x = 5,303,626,276/47,010
  6. Step 6: Final answer
    x = 112,819.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.