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Finding the Third Proportional to 15,574 and 23,306

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Solution

The third proportional to 15,574 and 23,306 is: 34,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574 : 23,306 = 23,306 : x
  2. Step 2: Convert to fraction form
    15,574/23,306 = 23,306/x
  3. Step 3: Cross multiply
    15,574x = 23,306 × 23,306
  4. Step 4: Simplify right side
    15,574x = 543,169,636
  5. Step 5: Solve for x
    x = 543,169,636/15,574
  6. Step 6: Final answer
    x = 34,876.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.