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Finding the Third Proportional to 20,982.94 and 45,317.06

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Solution

The third proportional to 20,982.94 and 45,317.06 is: 97,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.94 : 45,317.06 = 45,317.06 : x
  2. Step 2: Convert to fraction form
    20,982.94/45,317.06 = 45,317.06/x
  3. Step 3: Cross multiply
    20,982.94x = 45,317.06 × 45,317.06
  4. Step 4: Simplify right side
    20,982.94x = 2,053,636,153.63
  5. Step 5: Solve for x
    x = 2,053,636,153.63/20,982.94
  6. Step 6: Final answer
    x = 97,871.72

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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.