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Finding the Third Proportional to 27,618.47 and 42,475.64

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Solution

The third proportional to 27,618.47 and 42,475.64 is: 65,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,618.47 : 42,475.64 = 42,475.64 : x
  2. Step 2: Convert to fraction form
    27,618.47/42,475.64 = 42,475.64/x
  3. Step 3: Cross multiply
    27,618.47x = 42,475.64 × 42,475.64
  4. Step 4: Simplify right side
    27,618.47x = 1,804,180,046.50
  5. Step 5: Solve for x
    x = 1,804,180,046.50/27,618.47
  6. Step 6: Final answer
    x = 65,325.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.