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Finding the Third Proportional to 47,114 and 66,029.50

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Solution

The third proportional to 47,114 and 66,029.50 is: 92,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114 : 66,029.50 = 66,029.50 : x
  2. Step 2: Convert to fraction form
    47,114/66,029.50 = 66,029.50/x
  3. Step 3: Cross multiply
    47,114x = 66,029.50 × 66,029.50
  4. Step 4: Simplify right side
    47,114x = 4,359,894,870.25
  5. Step 5: Solve for x
    x = 4,359,894,870.25/47,114
  6. Step 6: Final answer
    x = 92,539.26

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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.