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Finding the Third Proportional to 15,894 and 34,285.50

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Solution

The third proportional to 15,894 and 34,285.50 is: 73,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 34,285.50 = 34,285.50 : x
  2. Step 2: Convert to fraction form
    15,894/34,285.50 = 34,285.50/x
  3. Step 3: Cross multiply
    15,894x = 34,285.50 × 34,285.50
  4. Step 4: Simplify right side
    15,894x = 1,175,495,510.25
  5. Step 5: Solve for x
    x = 1,175,495,510.25/15,894
  6. Step 6: Final answer
    x = 73,958.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.