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Finding the Third Proportional to 7,358 and 8,582

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Solution

The third proportional to 7,358 and 8,582 is: 10,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358 : 8,582 = 8,582 : x
  2. Step 2: Convert to fraction form
    7,358/8,582 = 8,582/x
  3. Step 3: Cross multiply
    7,358x = 8,582 × 8,582
  4. Step 4: Simplify right side
    7,358x = 73,650,724
  5. Step 5: Solve for x
    x = 73,650,724/7,358
  6. Step 6: Final answer
    x = 10,009.61

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.