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Finding the Third Proportional to 16,454 and 26,498

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Solution

The third proportional to 16,454 and 26,498 is: 42,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454 : 26,498 = 26,498 : x
  2. Step 2: Convert to fraction form
    16,454/26,498 = 26,498/x
  3. Step 3: Cross multiply
    16,454x = 26,498 × 26,498
  4. Step 4: Simplify right side
    16,454x = 702,144,004
  5. Step 5: Solve for x
    x = 702,144,004/16,454
  6. Step 6: Final answer
    x = 42,673.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.