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Finding the Third Proportional to 34,114 and 47,768

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Solution

The third proportional to 34,114 and 47,768 is: 66,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114 : 47,768 = 47,768 : x
  2. Step 2: Convert to fraction form
    34,114/47,768 = 47,768/x
  3. Step 3: Cross multiply
    34,114x = 47,768 × 47,768
  4. Step 4: Simplify right side
    34,114x = 2,281,781,824
  5. Step 5: Solve for x
    x = 2,281,781,824/34,114
  6. Step 6: Final answer
    x = 66,886.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.