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Finding the Third Proportional to 10,479.63 and 16,357.38

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Solution

The third proportional to 10,479.63 and 16,357.38 is: 25,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.63 : 16,357.38 = 16,357.38 : x
  2. Step 2: Convert to fraction form
    10,479.63/16,357.38 = 16,357.38/x
  3. Step 3: Cross multiply
    10,479.63x = 16,357.38 × 16,357.38
  4. Step 4: Simplify right side
    10,479.63x = 267,563,716.89
  5. Step 5: Solve for x
    x = 267,563,716.89/10,479.63
  6. Step 6: Final answer
    x = 25,531.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.