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Finding the Third Proportional to 21,011 and 45,209

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Solution

The third proportional to 21,011 and 45,209 is: 97,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011 : 45,209 = 45,209 : x
  2. Step 2: Convert to fraction form
    21,011/45,209 = 45,209/x
  3. Step 3: Cross multiply
    21,011x = 45,209 × 45,209
  4. Step 4: Simplify right side
    21,011x = 2,043,853,681
  5. Step 5: Solve for x
    x = 2,043,853,681/21,011
  6. Step 6: Final answer
    x = 97,275.41

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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.