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Finding the Third Proportional to 14,526 and 25,617

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Solution

The third proportional to 14,526 and 25,617 is: 45,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526 : 25,617 = 25,617 : x
  2. Step 2: Convert to fraction form
    14,526/25,617 = 25,617/x
  3. Step 3: Cross multiply
    14,526x = 25,617 × 25,617
  4. Step 4: Simplify right side
    14,526x = 656,230,689
  5. Step 5: Solve for x
    x = 656,230,689/14,526
  6. Step 6: Final answer
    x = 45,176.28

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.