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Finding the Third Proportional to 16,580 and 36,310

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Solution

The third proportional to 16,580 and 36,310 is: 79,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580 : 36,310 = 36,310 : x
  2. Step 2: Convert to fraction form
    16,580/36,310 = 36,310/x
  3. Step 3: Cross multiply
    16,580x = 36,310 × 36,310
  4. Step 4: Simplify right side
    16,580x = 1,318,416,100
  5. Step 5: Solve for x
    x = 1,318,416,100/16,580
  6. Step 6: Final answer
    x = 79,518.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.