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Finding the Third Proportional to 5,880.38 and 12,570.19

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Solution

The third proportional to 5,880.38 and 12,570.19 is: 26,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.38 : 12,570.19 = 12,570.19 : x
  2. Step 2: Convert to fraction form
    5,880.38/12,570.19 = 12,570.19/x
  3. Step 3: Cross multiply
    5,880.38x = 12,570.19 × 12,570.19
  4. Step 4: Simplify right side
    5,880.38x = 158,009,613.79
  5. Step 5: Solve for x
    x = 158,009,613.79/5,880.38
  6. Step 6: Final answer
    x = 26,870.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.