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Finding the Third Proportional to 1,416 and 3,582

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Solution

The third proportional to 1,416 and 3,582 is: 9,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416 : 3,582 = 3,582 : x
  2. Step 2: Convert to fraction form
    1,416/3,582 = 3,582/x
  3. Step 3: Cross multiply
    1,416x = 3,582 × 3,582
  4. Step 4: Simplify right side
    1,416x = 12,830,724
  5. Step 5: Solve for x
    x = 12,830,724/1,416
  6. Step 6: Final answer
    x = 9,061.25

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.