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Finding the Third Proportional to 35,370 and 55,208

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Solution

The third proportional to 35,370 and 55,208 is: 86,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,370 : 55,208 = 55,208 : x
  2. Step 2: Convert to fraction form
    35,370/55,208 = 55,208/x
  3. Step 3: Cross multiply
    35,370x = 55,208 × 55,208
  4. Step 4: Simplify right side
    35,370x = 3,047,923,264
  5. Step 5: Solve for x
    x = 3,047,923,264/35,370
  6. Step 6: Final answer
    x = 86,172.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.