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Finding the Third Proportional to 5,752 and 7,582

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Solution

The third proportional to 5,752 and 7,582 is: 9,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752 : 7,582 = 7,582 : x
  2. Step 2: Convert to fraction form
    5,752/7,582 = 7,582/x
  3. Step 3: Cross multiply
    5,752x = 7,582 × 7,582
  4. Step 4: Simplify right side
    5,752x = 57,486,724
  5. Step 5: Solve for x
    x = 57,486,724/5,752
  6. Step 6: Final answer
    x = 9,994.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.