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Finding the Third Proportional to 17,859 and 25,513

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Solution

The third proportional to 17,859 and 25,513 is: 36,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859 : 25,513 = 25,513 : x
  2. Step 2: Convert to fraction form
    17,859/25,513 = 25,513/x
  3. Step 3: Cross multiply
    17,859x = 25,513 × 25,513
  4. Step 4: Simplify right side
    17,859x = 650,913,169
  5. Step 5: Solve for x
    x = 650,913,169/17,859
  6. Step 6: Final answer
    x = 36,447.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.