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Finding the Third Proportional to 46,044 and 71,100

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Solution

The third proportional to 46,044 and 71,100 is: 109,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,044 : 71,100 = 71,100 : x
  2. Step 2: Convert to fraction form
    46,044/71,100 = 71,100/x
  3. Step 3: Cross multiply
    46,044x = 71,100 × 71,100
  4. Step 4: Simplify right side
    46,044x = 5,055,210,000
  5. Step 5: Solve for x
    x = 5,055,210,000/46,044
  6. Step 6: Final answer
    x = 109,790.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.