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Finding the Third Proportional to 3,024 and 6,746.63

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Solution

The third proportional to 3,024 and 6,746.63 is: 15,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 6,746.63 = 6,746.63 : x
  2. Step 2: Convert to fraction form
    3,024/6,746.63 = 6,746.63/x
  3. Step 3: Cross multiply
    3,024x = 6,746.63 × 6,746.63
  4. Step 4: Simplify right side
    3,024x = 45,516,948.89
  5. Step 5: Solve for x
    x = 45,516,948.89/3,024
  6. Step 6: Final answer
    x = 15,051.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.