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Finding the Third Proportional to 7,607.04 and 12,152.85

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Solution

The third proportional to 7,607.04 and 12,152.85 is: 19,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.04 : 12,152.85 = 12,152.85 : x
  2. Step 2: Convert to fraction form
    7,607.04/12,152.85 = 12,152.85/x
  3. Step 3: Cross multiply
    7,607.04x = 12,152.85 × 12,152.85
  4. Step 4: Simplify right side
    7,607.04x = 147,691,706.16
  5. Step 5: Solve for x
    x = 147,691,706.16/7,607.04
  6. Step 6: Final answer
    x = 19,415.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.