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Finding the Third Proportional to 35,883 and 78,566.63

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Solution

The third proportional to 35,883 and 78,566.63 is: 172,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,883 : 78,566.63 = 78,566.63 : x
  2. Step 2: Convert to fraction form
    35,883/78,566.63 = 78,566.63/x
  3. Step 3: Cross multiply
    35,883x = 78,566.63 × 78,566.63
  4. Step 4: Simplify right side
    35,883x = 6,172,714,563.89
  5. Step 5: Solve for x
    x = 6,172,714,563.89/35,883
  6. Step 6: Final answer
    x = 172,023.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.