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Finding the Third Proportional to 15,566 and 23,804

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Solution

The third proportional to 15,566 and 23,804 is: 36,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,566 : 23,804 = 23,804 : x
  2. Step 2: Convert to fraction form
    15,566/23,804 = 23,804/x
  3. Step 3: Cross multiply
    15,566x = 23,804 × 23,804
  4. Step 4: Simplify right side
    15,566x = 566,630,416
  5. Step 5: Solve for x
    x = 566,630,416/15,566
  6. Step 6: Final answer
    x = 36,401.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.