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Finding the Third Proportional to 8,955 and 19,550.25

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Solution

The third proportional to 8,955 and 19,550.25 is: 42,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,955 : 19,550.25 = 19,550.25 : x
  2. Step 2: Convert to fraction form
    8,955/19,550.25 = 19,550.25/x
  3. Step 3: Cross multiply
    8,955x = 19,550.25 × 19,550.25
  4. Step 4: Simplify right side
    8,955x = 382,212,275.06
  5. Step 5: Solve for x
    x = 382,212,275.06/8,955
  6. Step 6: Final answer
    x = 42,681.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.