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Finding the Third Proportional to 11,597 and 25,369

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Solution

The third proportional to 11,597 and 25,369 is: 55,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597 : 25,369 = 25,369 : x
  2. Step 2: Convert to fraction form
    11,597/25,369 = 25,369/x
  3. Step 3: Cross multiply
    11,597x = 25,369 × 25,369
  4. Step 4: Simplify right side
    11,597x = 643,586,161
  5. Step 5: Solve for x
    x = 643,586,161/11,597
  6. Step 6: Final answer
    x = 55,495.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.