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Finding the Third Proportional to 16,260 and 25,111

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Solution

The third proportional to 16,260 and 25,111 is: 38,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260 : 25,111 = 25,111 : x
  2. Step 2: Convert to fraction form
    16,260/25,111 = 25,111/x
  3. Step 3: Cross multiply
    16,260x = 25,111 × 25,111
  4. Step 4: Simplify right side
    16,260x = 630,562,321
  5. Step 5: Solve for x
    x = 630,562,321/16,260
  6. Step 6: Final answer
    x = 38,779.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.