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Finding the Third Proportional to 42,894 and 61,880.25

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Solution

The third proportional to 42,894 and 61,880.25 is: 89,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894 : 61,880.25 = 61,880.25 : x
  2. Step 2: Convert to fraction form
    42,894/61,880.25 = 61,880.25/x
  3. Step 3: Cross multiply
    42,894x = 61,880.25 × 61,880.25
  4. Step 4: Simplify right side
    42,894x = 3,829,165,340.06
  5. Step 5: Solve for x
    x = 3,829,165,340.06/42,894
  6. Step 6: Final answer
    x = 89,270.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.