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Finding the Third Proportional to 18,303.47 and 27,383.06

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Solution

The third proportional to 18,303.47 and 27,383.06 is: 40,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,303.47 : 27,383.06 = 27,383.06 : x
  2. Step 2: Convert to fraction form
    18,303.47/27,383.06 = 27,383.06/x
  3. Step 3: Cross multiply
    18,303.47x = 27,383.06 × 27,383.06
  4. Step 4: Simplify right side
    18,303.47x = 749,832,111.88
  5. Step 5: Solve for x
    x = 749,832,111.88/18,303.47
  6. Step 6: Final answer
    x = 40,966.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.