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Finding the Third Proportional to 8,071.50 and 12,153.75

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Solution

The third proportional to 8,071.50 and 12,153.75 is: 18,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.50 : 12,153.75 = 12,153.75 : x
  2. Step 2: Convert to fraction form
    8,071.50/12,153.75 = 12,153.75/x
  3. Step 3: Cross multiply
    8,071.50x = 12,153.75 × 12,153.75
  4. Step 4: Simplify right side
    8,071.50x = 147,713,639.06
  5. Step 5: Solve for x
    x = 147,713,639.06/8,071.50
  6. Step 6: Final answer
    x = 18,300.64

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Why These Related Problems?

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