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Finding the Third Proportional to 15,894.19 and 34,519.50

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Solution

The third proportional to 15,894.19 and 34,519.50 is: 74,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.19 : 34,519.50 = 34,519.50 : x
  2. Step 2: Convert to fraction form
    15,894.19/34,519.50 = 34,519.50/x
  3. Step 3: Cross multiply
    15,894.19x = 34,519.50 × 34,519.50
  4. Step 4: Simplify right side
    15,894.19x = 1,191,595,880.25
  5. Step 5: Solve for x
    x = 1,191,595,880.25/15,894.19
  6. Step 6: Final answer
    x = 74,970.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.