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Finding the Third Proportional to 35,301.45 and 77,599.58

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Solution

The third proportional to 35,301.45 and 77,599.58 is: 170,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,301.45 : 77,599.58 = 77,599.58 : x
  2. Step 2: Convert to fraction form
    35,301.45/77,599.58 = 77,599.58/x
  3. Step 3: Cross multiply
    35,301.45x = 77,599.58 × 77,599.58
  4. Step 4: Simplify right side
    35,301.45x = 6,021,695,131.42
  5. Step 5: Solve for x
    x = 6,021,695,131.42/35,301.45
  6. Step 6: Final answer
    x = 170,579.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.