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Finding the Third Proportional to 8,053 and 17,297

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Solution

The third proportional to 8,053 and 17,297 is: 37,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053 : 17,297 = 17,297 : x
  2. Step 2: Convert to fraction form
    8,053/17,297 = 17,297/x
  3. Step 3: Cross multiply
    8,053x = 17,297 × 17,297
  4. Step 4: Simplify right side
    8,053x = 299,186,209
  5. Step 5: Solve for x
    x = 299,186,209/8,053
  6. Step 6: Final answer
    x = 37,152.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.