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Finding the Third Proportional to 21,040 and 45,259

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Solution

The third proportional to 21,040 and 45,259 is: 97,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,040 : 45,259 = 45,259 : x
  2. Step 2: Convert to fraction form
    21,040/45,259 = 45,259/x
  3. Step 3: Cross multiply
    21,040x = 45,259 × 45,259
  4. Step 4: Simplify right side
    21,040x = 2,048,377,081
  5. Step 5: Solve for x
    x = 2,048,377,081/21,040
  6. Step 6: Final answer
    x = 97,356.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.