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Finding the Third Proportional to 14,097 and 25,915

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Solution

The third proportional to 14,097 and 25,915 is: 47,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097 : 25,915 = 25,915 : x
  2. Step 2: Convert to fraction form
    14,097/25,915 = 25,915/x
  3. Step 3: Cross multiply
    14,097x = 25,915 × 25,915
  4. Step 4: Simplify right side
    14,097x = 671,587,225
  5. Step 5: Solve for x
    x = 671,587,225/14,097
  6. Step 6: Final answer
    x = 47,640.44

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.