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Finding the Third Proportional to 23,546 and 55,409

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Solution

The third proportional to 23,546 and 55,409 is: 130,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546 : 55,409 = 55,409 : x
  2. Step 2: Convert to fraction form
    23,546/55,409 = 55,409/x
  3. Step 3: Cross multiply
    23,546x = 55,409 × 55,409
  4. Step 4: Simplify right side
    23,546x = 3,070,157,281
  5. Step 5: Solve for x
    x = 3,070,157,281/23,546
  6. Step 6: Final answer
    x = 130,389.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.