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Finding the Third Proportional to 7,263.56 and 12,834.56

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Solution

The third proportional to 7,263.56 and 12,834.56 is: 22,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.56 : 12,834.56 = 12,834.56 : x
  2. Step 2: Convert to fraction form
    7,263.56/12,834.56 = 12,834.56/x
  3. Step 3: Cross multiply
    7,263.56x = 12,834.56 × 12,834.56
  4. Step 4: Simplify right side
    7,263.56x = 164,725,994.57
  5. Step 5: Solve for x
    x = 164,725,994.57/7,263.56
  6. Step 6: Final answer
    x = 22,678.40

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.