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Finding the Third Proportional to 35,741.25 and 78,483.94

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Solution

The third proportional to 35,741.25 and 78,483.94 is: 172,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.25 : 78,483.94 = 78,483.94 : x
  2. Step 2: Convert to fraction form
    35,741.25/78,483.94 = 78,483.94/x
  3. Step 3: Cross multiply
    35,741.25x = 78,483.94 × 78,483.94
  4. Step 4: Simplify right side
    35,741.25x = 6,159,728,445.50
  5. Step 5: Solve for x
    x = 6,159,728,445.50/35,741.25
  6. Step 6: Final answer
    x = 172,342.28

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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.