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Finding the Third Proportional to 28,623.75 and 61,482

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Solution

The third proportional to 28,623.75 and 61,482 is: 132,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,623.75 : 61,482 = 61,482 : x
  2. Step 2: Convert to fraction form
    28,623.75/61,482 = 61,482/x
  3. Step 3: Cross multiply
    28,623.75x = 61,482 × 61,482
  4. Step 4: Simplify right side
    28,623.75x = 3,780,036,324
  5. Step 5: Solve for x
    x = 3,780,036,324/28,623.75
  6. Step 6: Final answer
    x = 132,059.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.