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Finding the Third Proportional to 19,878.75 and 43,448.06

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Solution

The third proportional to 19,878.75 and 43,448.06 is: 94,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.75 : 43,448.06 = 43,448.06 : x
  2. Step 2: Convert to fraction form
    19,878.75/43,448.06 = 43,448.06/x
  3. Step 3: Cross multiply
    19,878.75x = 43,448.06 × 43,448.06
  4. Step 4: Simplify right side
    19,878.75x = 1,887,734,135.00
  5. Step 5: Solve for x
    x = 1,887,734,135.00/19,878.75
  6. Step 6: Final answer
    x = 94,962.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.