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Finding the Third Proportional to 14,809.08 and 31,988.67

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Solution

The third proportional to 14,809.08 and 31,988.67 is: 69,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.08 : 31,988.67 = 31,988.67 : x
  2. Step 2: Convert to fraction form
    14,809.08/31,988.67 = 31,988.67/x
  3. Step 3: Cross multiply
    14,809.08x = 31,988.67 × 31,988.67
  4. Step 4: Simplify right side
    14,809.08x = 1,023,275,128.33
  5. Step 5: Solve for x
    x = 1,023,275,128.33/14,809.08
  6. Step 6: Final answer
    x = 69,097.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.