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Finding the Third Proportional to 21,175.17 and 45,323.30

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Solution

The third proportional to 21,175.17 and 45,323.30 is: 97,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.17 : 45,323.30 = 45,323.30 : x
  2. Step 2: Convert to fraction form
    21,175.17/45,323.30 = 45,323.30/x
  3. Step 3: Cross multiply
    21,175.17x = 45,323.30 × 45,323.30
  4. Step 4: Simplify right side
    21,175.17x = 2,054,201,239.62
  5. Step 5: Solve for x
    x = 2,054,201,239.62/21,175.17
  6. Step 6: Final answer
    x = 97,009.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.