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Finding the Third Proportional to 27,206.72 and 42,039.84

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Solution

The third proportional to 27,206.72 and 42,039.84 is: 64,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.72 : 42,039.84 = 42,039.84 : x
  2. Step 2: Convert to fraction form
    27,206.72/42,039.84 = 42,039.84/x
  3. Step 3: Cross multiply
    27,206.72x = 42,039.84 × 42,039.84
  4. Step 4: Simplify right side
    27,206.72x = 1,767,348,462.52
  5. Step 5: Solve for x
    x = 1,767,348,462.52/27,206.72
  6. Step 6: Final answer
    x = 64,960.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.