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Finding the Third Proportional to 10,210.22 and 16,257.38

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Solution

The third proportional to 10,210.22 and 16,257.38 is: 25,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.22 : 16,257.38 = 16,257.38 : x
  2. Step 2: Convert to fraction form
    10,210.22/16,257.38 = 16,257.38/x
  3. Step 3: Cross multiply
    10,210.22x = 16,257.38 × 16,257.38
  4. Step 4: Simplify right side
    10,210.22x = 264,302,241.89
  5. Step 5: Solve for x
    x = 264,302,241.89/10,210.22
  6. Step 6: Final answer
    x = 25,886.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.