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Finding the Third Proportional to 46,894 and 66,038

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Solution

The third proportional to 46,894 and 66,038 is: 92,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,894 : 66,038 = 66,038 : x
  2. Step 2: Convert to fraction form
    46,894/66,038 = 66,038/x
  3. Step 3: Cross multiply
    46,894x = 66,038 × 66,038
  4. Step 4: Simplify right side
    46,894x = 4,361,017,444
  5. Step 5: Solve for x
    x = 4,361,017,444/46,894
  6. Step 6: Final answer
    x = 92,997.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.