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Finding the Third Proportional to 42,890.63 and 65,064.94

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Solution

The third proportional to 42,890.63 and 65,064.94 is: 98,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,890.63 : 65,064.94 = 65,064.94 : x
  2. Step 2: Convert to fraction form
    42,890.63/65,064.94 = 65,064.94/x
  3. Step 3: Cross multiply
    42,890.63x = 65,064.94 × 65,064.94
  4. Step 4: Simplify right side
    42,890.63x = 4,233,446,091.88
  5. Step 5: Solve for x
    x = 4,233,446,091.88/42,890.63
  6. Step 6: Final answer
    x = 98,703.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.