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Finding the Third Proportional to 35,705 and 84,429

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Solution

The third proportional to 35,705 and 84,429 is: 199,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705 : 84,429 = 84,429 : x
  2. Step 2: Convert to fraction form
    35,705/84,429 = 84,429/x
  3. Step 3: Cross multiply
    35,705x = 84,429 × 84,429
  4. Step 4: Simplify right side
    35,705x = 7,128,256,041
  5. Step 5: Solve for x
    x = 7,128,256,041/35,705
  6. Step 6: Final answer
    x = 199,643.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.