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Finding the Third Proportional to 10,486.97 and 16,368.33

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Solution

The third proportional to 10,486.97 and 16,368.33 is: 25,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.97 : 16,368.33 = 16,368.33 : x
  2. Step 2: Convert to fraction form
    10,486.97/16,368.33 = 16,368.33/x
  3. Step 3: Cross multiply
    10,486.97x = 16,368.33 × 16,368.33
  4. Step 4: Simplify right side
    10,486.97x = 267,922,165.61
  5. Step 5: Solve for x
    x = 267,922,165.61/10,486.97
  6. Step 6: Final answer
    x = 25,548.10

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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.