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Finding the Third Proportional to 25,295 and 55,429

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Solution

The third proportional to 25,295 and 55,429 is: 121,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295 : 55,429 = 55,429 : x
  2. Step 2: Convert to fraction form
    25,295/55,429 = 55,429/x
  3. Step 3: Cross multiply
    25,295x = 55,429 × 55,429
  4. Step 4: Simplify right side
    25,295x = 3,072,374,041
  5. Step 5: Solve for x
    x = 3,072,374,041/25,295
  6. Step 6: Final answer
    x = 121,461.71

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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.