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Finding the Third Proportional to 11,085 and 16,303.13

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Solution

The third proportional to 11,085 and 16,303.13 is: 23,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085 : 16,303.13 = 16,303.13 : x
  2. Step 2: Convert to fraction form
    11,085/16,303.13 = 16,303.13/x
  3. Step 3: Cross multiply
    11,085x = 16,303.13 × 16,303.13
  4. Step 4: Simplify right side
    11,085x = 265,791,884.77
  5. Step 5: Solve for x
    x = 265,791,884.77/11,085
  6. Step 6: Final answer
    x = 23,977.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.