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Finding the Third Proportional to 35,295.75 and 77,695.88

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Solution

The third proportional to 35,295.75 and 77,695.88 is: 171,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.75 : 77,695.88 = 77,695.88 : x
  2. Step 2: Convert to fraction form
    35,295.75/77,695.88 = 77,695.88/x
  3. Step 3: Cross multiply
    35,295.75x = 77,695.88 × 77,695.88
  4. Step 4: Simplify right side
    35,295.75x = 6,036,648,992.02
  5. Step 5: Solve for x
    x = 6,036,648,992.02/35,295.75
  6. Step 6: Final answer
    x = 171,030.48

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