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Finding the Third Proportional to 10,032 and 21,534

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Solution

The third proportional to 10,032 and 21,534 is: 46,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032 : 21,534 = 21,534 : x
  2. Step 2: Convert to fraction form
    10,032/21,534 = 21,534/x
  3. Step 3: Cross multiply
    10,032x = 21,534 × 21,534
  4. Step 4: Simplify right side
    10,032x = 463,713,156
  5. Step 5: Solve for x
    x = 463,713,156/10,032
  6. Step 6: Final answer
    x = 46,223.40

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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.