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Finding the Third Proportional to 14,262.75 and 20,878.88

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Solution

The third proportional to 14,262.75 and 20,878.88 is: 30,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.75 : 20,878.88 = 20,878.88 : x
  2. Step 2: Convert to fraction form
    14,262.75/20,878.88 = 20,878.88/x
  3. Step 3: Cross multiply
    14,262.75x = 20,878.88 × 20,878.88
  4. Step 4: Simplify right side
    14,262.75x = 435,927,421.27
  5. Step 5: Solve for x
    x = 435,927,421.27/14,262.75
  6. Step 6: Final answer
    x = 30,564.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.