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Finding the Third Proportional to 16,323 and 25,488

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Solution

The third proportional to 16,323 and 25,488 is: 39,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323 : 25,488 = 25,488 : x
  2. Step 2: Convert to fraction form
    16,323/25,488 = 25,488/x
  3. Step 3: Cross multiply
    16,323x = 25,488 × 25,488
  4. Step 4: Simplify right side
    16,323x = 649,638,144
  5. Step 5: Solve for x
    x = 649,638,144/16,323
  6. Step 6: Final answer
    x = 39,798.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.