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Finding the Third Proportional to 7,297 and 15,466

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Solution

The third proportional to 7,297 and 15,466 is: 32,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297 : 15,466 = 15,466 : x
  2. Step 2: Convert to fraction form
    7,297/15,466 = 15,466/x
  3. Step 3: Cross multiply
    7,297x = 15,466 × 15,466
  4. Step 4: Simplify right side
    7,297x = 239,197,156
  5. Step 5: Solve for x
    x = 239,197,156/7,297
  6. Step 6: Final answer
    x = 32,780.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.