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Finding the Third Proportional to 21,056 and 24,032

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Solution

The third proportional to 21,056 and 24,032 is: 27,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056 : 24,032 = 24,032 : x
  2. Step 2: Convert to fraction form
    21,056/24,032 = 24,032/x
  3. Step 3: Cross multiply
    21,056x = 24,032 × 24,032
  4. Step 4: Simplify right side
    21,056x = 577,537,024
  5. Step 5: Solve for x
    x = 577,537,024/21,056
  6. Step 6: Final answer
    x = 27,428.62

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.