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Finding the Third Proportional to 5,582 and 12,388

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Solution

The third proportional to 5,582 and 12,388 is: 27,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582 : 12,388 = 12,388 : x
  2. Step 2: Convert to fraction form
    5,582/12,388 = 12,388/x
  3. Step 3: Cross multiply
    5,582x = 12,388 × 12,388
  4. Step 4: Simplify right side
    5,582x = 153,462,544
  5. Step 5: Solve for x
    x = 153,462,544/5,582
  6. Step 6: Final answer
    x = 27,492.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.