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Finding the Third Proportional to 21,033 and 45,345

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Solution

The third proportional to 21,033 and 45,345 is: 97,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033 : 45,345 = 45,345 : x
  2. Step 2: Convert to fraction form
    21,033/45,345 = 45,345/x
  3. Step 3: Cross multiply
    21,033x = 45,345 × 45,345
  4. Step 4: Simplify right side
    21,033x = 2,056,169,025
  5. Step 5: Solve for x
    x = 2,056,169,025/21,033
  6. Step 6: Final answer
    x = 97,759.19

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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.