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Finding the Third Proportional to 35,829 and 75,929.06

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Solution

The third proportional to 35,829 and 75,929.06 is: 160,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829 : 75,929.06 = 75,929.06 : x
  2. Step 2: Convert to fraction form
    35,829/75,929.06 = 75,929.06/x
  3. Step 3: Cross multiply
    35,829x = 75,929.06 × 75,929.06
  4. Step 4: Simplify right side
    35,829x = 5,765,222,532.13
  5. Step 5: Solve for x
    x = 5,765,222,532.13/35,829
  6. Step 6: Final answer
    x = 160,909.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.