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Finding the Third Proportional to 35,717.63 and 78,485.63

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Solution

The third proportional to 35,717.63 and 78,485.63 is: 172,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,717.63 : 78,485.63 = 78,485.63 : x
  2. Step 2: Convert to fraction form
    35,717.63/78,485.63 = 78,485.63/x
  3. Step 3: Cross multiply
    35,717.63x = 78,485.63 × 78,485.63
  4. Step 4: Simplify right side
    35,717.63x = 6,159,993,331.64
  5. Step 5: Solve for x
    x = 6,159,993,331.64/35,717.63
  6. Step 6: Final answer
    x = 172,463.69

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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.