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Finding the Third Proportional to 15,580 and 33,536

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Solution

The third proportional to 15,580 and 33,536 is: 72,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580 : 33,536 = 33,536 : x
  2. Step 2: Convert to fraction form
    15,580/33,536 = 33,536/x
  3. Step 3: Cross multiply
    15,580x = 33,536 × 33,536
  4. Step 4: Simplify right side
    15,580x = 1,124,663,296
  5. Step 5: Solve for x
    x = 1,124,663,296/15,580
  6. Step 6: Final answer
    x = 72,186.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.