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Finding the Third Proportional to 27,741.66 and 42,303.94

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Solution

The third proportional to 27,741.66 and 42,303.94 is: 64,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.66 : 42,303.94 = 42,303.94 : x
  2. Step 2: Convert to fraction form
    27,741.66/42,303.94 = 42,303.94/x
  3. Step 3: Cross multiply
    27,741.66x = 42,303.94 × 42,303.94
  4. Step 4: Simplify right side
    27,741.66x = 1,789,623,128.00
  5. Step 5: Solve for x
    x = 1,789,623,128.00/27,741.66
  6. Step 6: Final answer
    x = 64,510.32

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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.