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Finding the Third Proportional to 12,335 and 17,455

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Solution

The third proportional to 12,335 and 17,455 is: 24,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335 : 17,455 = 17,455 : x
  2. Step 2: Convert to fraction form
    12,335/17,455 = 17,455/x
  3. Step 3: Cross multiply
    12,335x = 17,455 × 17,455
  4. Step 4: Simplify right side
    12,335x = 304,677,025
  5. Step 5: Solve for x
    x = 304,677,025/12,335
  6. Step 6: Final answer
    x = 24,700.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.