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Finding the Third Proportional to 16,196 and 25,160

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Solution

The third proportional to 16,196 and 25,160 is: 39,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196 : 25,160 = 25,160 : x
  2. Step 2: Convert to fraction form
    16,196/25,160 = 25,160/x
  3. Step 3: Cross multiply
    16,196x = 25,160 × 25,160
  4. Step 4: Simplify right side
    16,196x = 633,025,600
  5. Step 5: Solve for x
    x = 633,025,600/16,196
  6. Step 6: Final answer
    x = 39,085.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.