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Finding the Third Proportional to 20,465.16 and 45,231.75

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Solution

The third proportional to 20,465.16 and 45,231.75 is: 99,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.16 : 45,231.75 = 45,231.75 : x
  2. Step 2: Convert to fraction form
    20,465.16/45,231.75 = 45,231.75/x
  3. Step 3: Cross multiply
    20,465.16x = 45,231.75 × 45,231.75
  4. Step 4: Simplify right side
    20,465.16x = 2,045,911,208.06
  5. Step 5: Solve for x
    x = 2,045,911,208.06/20,465.16
  6. Step 6: Final answer
    x = 99,970.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.