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Finding the Third Proportional to 14,454 and 25,488

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Solution

The third proportional to 14,454 and 25,488 is: 44,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454 : 25,488 = 25,488 : x
  2. Step 2: Convert to fraction form
    14,454/25,488 = 25,488/x
  3. Step 3: Cross multiply
    14,454x = 25,488 × 25,488
  4. Step 4: Simplify right side
    14,454x = 649,638,144
  5. Step 5: Solve for x
    x = 649,638,144/14,454
  6. Step 6: Final answer
    x = 44,945.22

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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.