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Finding the Third Proportional to 10,395 and 16,627.50

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Solution

The third proportional to 10,395 and 16,627.50 is: 26,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395 : 16,627.50 = 16,627.50 : x
  2. Step 2: Convert to fraction form
    10,395/16,627.50 = 16,627.50/x
  3. Step 3: Cross multiply
    10,395x = 16,627.50 × 16,627.50
  4. Step 4: Simplify right side
    10,395x = 276,473,756.25
  5. Step 5: Solve for x
    x = 276,473,756.25/10,395
  6. Step 6: Final answer
    x = 26,596.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.