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Finding the Third Proportional to 42,977.63 and 65,701.31

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Solution

The third proportional to 42,977.63 and 65,701.31 is: 100,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,977.63 : 65,701.31 = 65,701.31 : x
  2. Step 2: Convert to fraction form
    42,977.63/65,701.31 = 65,701.31/x
  3. Step 3: Cross multiply
    42,977.63x = 65,701.31 × 65,701.31
  4. Step 4: Simplify right side
    42,977.63x = 4,316,662,464.22
  5. Step 5: Solve for x
    x = 4,316,662,464.22/42,977.63
  6. Step 6: Final answer
    x = 100,439.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.