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Finding the Third Proportional to 40,260 and 93,582

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Solution

The third proportional to 40,260 and 93,582 is: 217,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,260 : 93,582 = 93,582 : x
  2. Step 2: Convert to fraction form
    40,260/93,582 = 93,582/x
  3. Step 3: Cross multiply
    40,260x = 93,582 × 93,582
  4. Step 4: Simplify right side
    40,260x = 8,757,590,724
  5. Step 5: Solve for x
    x = 8,757,590,724/40,260
  6. Step 6: Final answer
    x = 217,525.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.