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Finding the Third Proportional to 2,457 and 3,582

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Solution

The third proportional to 2,457 and 3,582 is: 5,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 3,582 = 3,582 : x
  2. Step 2: Convert to fraction form
    2,457/3,582 = 3,582/x
  3. Step 3: Cross multiply
    2,457x = 3,582 × 3,582
  4. Step 4: Simplify right side
    2,457x = 12,830,724
  5. Step 5: Solve for x
    x = 12,830,724/2,457
  6. Step 6: Final answer
    x = 5,222.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.