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Finding the Third Proportional to 6,622.50 and 12,178.50

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Solution

The third proportional to 6,622.50 and 12,178.50 is: 22,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.50 : 12,178.50 = 12,178.50 : x
  2. Step 2: Convert to fraction form
    6,622.50/12,178.50 = 12,178.50/x
  3. Step 3: Cross multiply
    6,622.50x = 12,178.50 × 12,178.50
  4. Step 4: Simplify right side
    6,622.50x = 148,315,862.25
  5. Step 5: Solve for x
    x = 148,315,862.25/6,622.50
  6. Step 6: Final answer
    x = 22,395.75

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.