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Finding the Third Proportional to 6,130 and 13,297

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Solution

The third proportional to 6,130 and 13,297 is: 28,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130 : 13,297 = 13,297 : x
  2. Step 2: Convert to fraction form
    6,130/13,297 = 13,297/x
  3. Step 3: Cross multiply
    6,130x = 13,297 × 13,297
  4. Step 4: Simplify right side
    6,130x = 176,810,209
  5. Step 5: Solve for x
    x = 176,810,209/6,130
  6. Step 6: Final answer
    x = 28,843.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.