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Finding the Third Proportional to 25,058 and 35,248

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Solution

The third proportional to 25,058 and 35,248 is: 49,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,058 : 35,248 = 35,248 : x
  2. Step 2: Convert to fraction form
    25,058/35,248 = 35,248/x
  3. Step 3: Cross multiply
    25,058x = 35,248 × 35,248
  4. Step 4: Simplify right side
    25,058x = 1,242,421,504
  5. Step 5: Solve for x
    x = 1,242,421,504/25,058
  6. Step 6: Final answer
    x = 49,581.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.