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Finding the Third Proportional to 35,196 and 55,729

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Solution

The third proportional to 35,196 and 55,729 is: 88,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,196 : 55,729 = 55,729 : x
  2. Step 2: Convert to fraction form
    35,196/55,729 = 55,729/x
  3. Step 3: Cross multiply
    35,196x = 55,729 × 55,729
  4. Step 4: Simplify right side
    35,196x = 3,105,721,441
  5. Step 5: Solve for x
    x = 3,105,721,441/35,196
  6. Step 6: Final answer
    x = 88,240.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.