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Finding the Third Proportional to 35,994.38 and 78,539.63

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Solution

The third proportional to 35,994.38 and 78,539.63 is: 171,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,994.38 : 78,539.63 = 78,539.63 : x
  2. Step 2: Convert to fraction form
    35,994.38/78,539.63 = 78,539.63/x
  3. Step 3: Cross multiply
    35,994.38x = 78,539.63 × 78,539.63
  4. Step 4: Simplify right side
    35,994.38x = 6,168,472,695.14
  5. Step 5: Solve for x
    x = 6,168,472,695.14/35,994.38
  6. Step 6: Final answer
    x = 171,373.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.