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Finding the Third Proportional to 15,529.50 and 24,853.50

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Solution

The third proportional to 15,529.50 and 24,853.50 is: 39,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,529.50 : 24,853.50 = 24,853.50 : x
  2. Step 2: Convert to fraction form
    15,529.50/24,853.50 = 24,853.50/x
  3. Step 3: Cross multiply
    15,529.50x = 24,853.50 × 24,853.50
  4. Step 4: Simplify right side
    15,529.50x = 617,696,462.25
  5. Step 5: Solve for x
    x = 617,696,462.25/15,529.50
  6. Step 6: Final answer
    x = 39,775.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.