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Finding the Third Proportional to 6,178 and 9,320

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Solution

The third proportional to 6,178 and 9,320 is: 14,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 9,320 = 9,320 : x
  2. Step 2: Convert to fraction form
    6,178/9,320 = 9,320/x
  3. Step 3: Cross multiply
    6,178x = 9,320 × 9,320
  4. Step 4: Simplify right side
    6,178x = 86,862,400
  5. Step 5: Solve for x
    x = 86,862,400/6,178
  6. Step 6: Final answer
    x = 14,059.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.