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Finding the Third Proportional to 17,712 and 27,038.81

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Solution

The third proportional to 17,712 and 27,038.81 is: 41,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 27,038.81 = 27,038.81 : x
  2. Step 2: Convert to fraction form
    17,712/27,038.81 = 27,038.81/x
  3. Step 3: Cross multiply
    17,712x = 27,038.81 × 27,038.81
  4. Step 4: Simplify right side
    17,712x = 731,097,381.41
  5. Step 5: Solve for x
    x = 731,097,381.41/17,712
  6. Step 6: Final answer
    x = 41,276.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.