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Finding the Third Proportional to 27,534.94 and 59,066.72

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Solution

The third proportional to 27,534.94 and 59,066.72 is: 126,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.94 : 59,066.72 = 59,066.72 : x
  2. Step 2: Convert to fraction form
    27,534.94/59,066.72 = 59,066.72/x
  3. Step 3: Cross multiply
    27,534.94x = 59,066.72 × 59,066.72
  4. Step 4: Simplify right side
    27,534.94x = 3,488,877,263.89
  5. Step 5: Solve for x
    x = 3,488,877,263.89/27,534.94
  6. Step 6: Final answer
    x = 126,707.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.