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Finding the Third Proportional to 6,520 and 15,788

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Solution

The third proportional to 6,520 and 15,788 is: 38,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520 : 15,788 = 15,788 : x
  2. Step 2: Convert to fraction form
    6,520/15,788 = 15,788/x
  3. Step 3: Cross multiply
    6,520x = 15,788 × 15,788
  4. Step 4: Simplify right side
    6,520x = 249,260,944
  5. Step 5: Solve for x
    x = 249,260,944/6,520
  6. Step 6: Final answer
    x = 38,230.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.