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Finding the Third Proportional to 30,288.38 and 62,088.19

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Solution

The third proportional to 30,288.38 and 62,088.19 is: 127,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.38 : 62,088.19 = 62,088.19 : x
  2. Step 2: Convert to fraction form
    30,288.38/62,088.19 = 62,088.19/x
  3. Step 3: Cross multiply
    30,288.38x = 62,088.19 × 62,088.19
  4. Step 4: Simplify right side
    30,288.38x = 3,854,943,027.04
  5. Step 5: Solve for x
    x = 3,854,943,027.04/30,288.38
  6. Step 6: Final answer
    x = 127,274.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.