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Finding the Third Proportional to 10,878.75 and 14,698.13

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Solution

The third proportional to 10,878.75 and 14,698.13 is: 19,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.75 : 14,698.13 = 14,698.13 : x
  2. Step 2: Convert to fraction form
    10,878.75/14,698.13 = 14,698.13/x
  3. Step 3: Cross multiply
    10,878.75x = 14,698.13 × 14,698.13
  4. Step 4: Simplify right side
    10,878.75x = 216,034,878.52
  5. Step 5: Solve for x
    x = 216,034,878.52/10,878.75
  6. Step 6: Final answer
    x = 19,858.43

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.