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Finding the Third Proportional to 21,051.28 and 45,020.25

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Solution

The third proportional to 21,051.28 and 45,020.25 is: 96,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.28 : 45,020.25 = 45,020.25 : x
  2. Step 2: Convert to fraction form
    21,051.28/45,020.25 = 45,020.25/x
  3. Step 3: Cross multiply
    21,051.28x = 45,020.25 × 45,020.25
  4. Step 4: Simplify right side
    21,051.28x = 2,026,822,910.06
  5. Step 5: Solve for x
    x = 2,026,822,910.06/21,051.28
  6. Step 6: Final answer
    x = 96,280.26

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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.