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Finding the Third Proportional to 5,821.88 and 12,570.19

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Solution

The third proportional to 5,821.88 and 12,570.19 is: 27,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.88 : 12,570.19 = 12,570.19 : x
  2. Step 2: Convert to fraction form
    5,821.88/12,570.19 = 12,570.19/x
  3. Step 3: Cross multiply
    5,821.88x = 12,570.19 × 12,570.19
  4. Step 4: Simplify right side
    5,821.88x = 158,009,613.79
  5. Step 5: Solve for x
    x = 158,009,613.79/5,821.88
  6. Step 6: Final answer
    x = 27,140.67

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Why These Related Problems?

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