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Finding the Third Proportional to 19,755 and 44,203.50

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Solution

The third proportional to 19,755 and 44,203.50 is: 98,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755 : 44,203.50 = 44,203.50 : x
  2. Step 2: Convert to fraction form
    19,755/44,203.50 = 44,203.50/x
  3. Step 3: Cross multiply
    19,755x = 44,203.50 × 44,203.50
  4. Step 4: Simplify right side
    19,755x = 1,953,949,412.25
  5. Step 5: Solve for x
    x = 1,953,949,412.25/19,755
  6. Step 6: Final answer
    x = 98,909.11

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.