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Finding the Third Proportional to 21,232 and 27,464

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Solution

The third proportional to 21,232 and 27,464 is: 35,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232 : 27,464 = 27,464 : x
  2. Step 2: Convert to fraction form
    21,232/27,464 = 27,464/x
  3. Step 3: Cross multiply
    21,232x = 27,464 × 27,464
  4. Step 4: Simplify right side
    21,232x = 754,271,296
  5. Step 5: Solve for x
    x = 754,271,296/21,232
  6. Step 6: Final answer
    x = 35,525.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.