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Finding the Third Proportional to 12,454 and 26,572

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Solution

The third proportional to 12,454 and 26,572 is: 56,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454 : 26,572 = 26,572 : x
  2. Step 2: Convert to fraction form
    12,454/26,572 = 26,572/x
  3. Step 3: Cross multiply
    12,454x = 26,572 × 26,572
  4. Step 4: Simplify right side
    12,454x = 706,071,184
  5. Step 5: Solve for x
    x = 706,071,184/12,454
  6. Step 6: Final answer
    x = 56,694.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.