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Finding the Third Proportional to 35,700 and 84,417

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Solution

The third proportional to 35,700 and 84,417 is: 199,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,700 : 84,417 = 84,417 : x
  2. Step 2: Convert to fraction form
    35,700/84,417 = 84,417/x
  3. Step 3: Cross multiply
    35,700x = 84,417 × 84,417
  4. Step 4: Simplify right side
    35,700x = 7,126,229,889
  5. Step 5: Solve for x
    x = 7,126,229,889/35,700
  6. Step 6: Final answer
    x = 199,614.28

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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.