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Finding the Third Proportional to 10,257 and 16,357.50

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Solution

The third proportional to 10,257 and 16,357.50 is: 26,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257 : 16,357.50 = 16,357.50 : x
  2. Step 2: Convert to fraction form
    10,257/16,357.50 = 16,357.50/x
  3. Step 3: Cross multiply
    10,257x = 16,357.50 × 16,357.50
  4. Step 4: Simplify right side
    10,257x = 267,567,806.25
  5. Step 5: Solve for x
    x = 267,567,806.25/10,257
  6. Step 6: Final answer
    x = 26,086.36

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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.