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Finding the Third Proportional to 6,178 and 13,557

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Solution

The third proportional to 6,178 and 13,557 is: 29,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 13,557 = 13,557 : x
  2. Step 2: Convert to fraction form
    6,178/13,557 = 13,557/x
  3. Step 3: Cross multiply
    6,178x = 13,557 × 13,557
  4. Step 4: Simplify right side
    6,178x = 183,792,249
  5. Step 5: Solve for x
    x = 183,792,249/6,178
  6. Step 6: Final answer
    x = 29,749.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.