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Finding the Third Proportional to 44,701 and 61,971.50

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Solution

The third proportional to 44,701 and 61,971.50 is: 85,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,701 : 61,971.50 = 61,971.50 : x
  2. Step 2: Convert to fraction form
    44,701/61,971.50 = 61,971.50/x
  3. Step 3: Cross multiply
    44,701x = 61,971.50 × 61,971.50
  4. Step 4: Simplify right side
    44,701x = 3,840,466,812.25
  5. Step 5: Solve for x
    x = 3,840,466,812.25/44,701
  6. Step 6: Final answer
    x = 85,914.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.