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Finding the Third Proportional to 15,724 and 33,248

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Solution

The third proportional to 15,724 and 33,248 is: 70,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 33,248 = 33,248 : x
  2. Step 2: Convert to fraction form
    15,724/33,248 = 33,248/x
  3. Step 3: Cross multiply
    15,724x = 33,248 × 33,248
  4. Step 4: Simplify right side
    15,724x = 1,105,429,504
  5. Step 5: Solve for x
    x = 1,105,429,504/15,724
  6. Step 6: Final answer
    x = 70,302.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.