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Finding the Third Proportional to 10,950.75 and 16,987.50

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Solution

The third proportional to 10,950.75 and 16,987.50 is: 26,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.75 : 16,987.50 = 16,987.50 : x
  2. Step 2: Convert to fraction form
    10,950.75/16,987.50 = 16,987.50/x
  3. Step 3: Cross multiply
    10,950.75x = 16,987.50 × 16,987.50
  4. Step 4: Simplify right side
    10,950.75x = 288,575,156.25
  5. Step 5: Solve for x
    x = 288,575,156.25/10,950.75
  6. Step 6: Final answer
    x = 26,352.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.