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Finding the Third Proportional to 21,232 and 45,596

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Solution

The third proportional to 21,232 and 45,596 is: 97,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232 : 45,596 = 45,596 : x
  2. Step 2: Convert to fraction form
    21,232/45,596 = 45,596/x
  3. Step 3: Cross multiply
    21,232x = 45,596 × 45,596
  4. Step 4: Simplify right side
    21,232x = 2,078,995,216
  5. Step 5: Solve for x
    x = 2,078,995,216/21,232
  6. Step 6: Final answer
    x = 97,918.01

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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.