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Finding the Third Proportional to 15,582 and 20,454

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Solution

The third proportional to 15,582 and 20,454 is: 26,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582 : 20,454 = 20,454 : x
  2. Step 2: Convert to fraction form
    15,582/20,454 = 20,454/x
  3. Step 3: Cross multiply
    15,582x = 20,454 × 20,454
  4. Step 4: Simplify right side
    15,582x = 418,366,116
  5. Step 5: Solve for x
    x = 418,366,116/15,582
  6. Step 6: Final answer
    x = 26,849.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.