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Finding the Third Proportional to 19,221.56 and 41,602.13

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Solution

The third proportional to 19,221.56 and 41,602.13 is: 90,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221.56 : 41,602.13 = 41,602.13 : x
  2. Step 2: Convert to fraction form
    19,221.56/41,602.13 = 41,602.13/x
  3. Step 3: Cross multiply
    19,221.56x = 41,602.13 × 41,602.13
  4. Step 4: Simplify right side
    19,221.56x = 1,730,736,804.52
  5. Step 5: Solve for x
    x = 1,730,736,804.52/19,221.56
  6. Step 6: Final answer
    x = 90,041.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.