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Finding the Third Proportional to 47,113 and 66,028

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Solution

The third proportional to 47,113 and 66,028 is: 92,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,113 : 66,028 = 66,028 : x
  2. Step 2: Convert to fraction form
    47,113/66,028 = 66,028/x
  3. Step 3: Cross multiply
    47,113x = 66,028 × 66,028
  4. Step 4: Simplify right side
    47,113x = 4,359,696,784
  5. Step 5: Solve for x
    x = 4,359,696,784/47,113
  6. Step 6: Final answer
    x = 92,537.02

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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.