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Finding the Third Proportional to 21,597 and 45,762

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Solution

The third proportional to 21,597 and 45,762 is: 96,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597 : 45,762 = 45,762 : x
  2. Step 2: Convert to fraction form
    21,597/45,762 = 45,762/x
  3. Step 3: Cross multiply
    21,597x = 45,762 × 45,762
  4. Step 4: Simplify right side
    21,597x = 2,094,160,644
  5. Step 5: Solve for x
    x = 2,094,160,644/21,597
  6. Step 6: Final answer
    x = 96,965.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.