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Finding the Third Proportional to 5,874.75 and 13,300.88

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Solution

The third proportional to 5,874.75 and 13,300.88 is: 30,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.75 : 13,300.88 = 13,300.88 : x
  2. Step 2: Convert to fraction form
    5,874.75/13,300.88 = 13,300.88/x
  3. Step 3: Cross multiply
    5,874.75x = 13,300.88 × 13,300.88
  4. Step 4: Simplify right side
    5,874.75x = 176,913,275.77
  5. Step 5: Solve for x
    x = 176,913,275.77/5,874.75
  6. Step 6: Final answer
    x = 30,114.18

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.