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Finding the Third Proportional to 20,643.19 and 45,240.19

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Solution

The third proportional to 20,643.19 and 45,240.19 is: 99,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.19 : 45,240.19 = 45,240.19 : x
  2. Step 2: Convert to fraction form
    20,643.19/45,240.19 = 45,240.19/x
  3. Step 3: Cross multiply
    20,643.19x = 45,240.19 × 45,240.19
  4. Step 4: Simplify right side
    20,643.19x = 2,046,674,565.04
  5. Step 5: Solve for x
    x = 2,046,674,565.04/20,643.19
  6. Step 6: Final answer
    x = 99,145.28

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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.