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Finding the Third Proportional to 9,774 and 15,957

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Solution

The third proportional to 9,774 and 15,957 is: 26,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 15,957 = 15,957 : x
  2. Step 2: Convert to fraction form
    9,774/15,957 = 15,957/x
  3. Step 3: Cross multiply
    9,774x = 15,957 × 15,957
  4. Step 4: Simplify right side
    9,774x = 254,625,849
  5. Step 5: Solve for x
    x = 254,625,849/9,774
  6. Step 6: Final answer
    x = 26,051.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.