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Finding the Third Proportional to 5,063.63 and 10,530.56

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Solution

The third proportional to 5,063.63 and 10,530.56 is: 21,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.63 : 10,530.56 = 10,530.56 : x
  2. Step 2: Convert to fraction form
    5,063.63/10,530.56 = 10,530.56/x
  3. Step 3: Cross multiply
    5,063.63x = 10,530.56 × 10,530.56
  4. Step 4: Simplify right side
    5,063.63x = 110,892,746.57
  5. Step 5: Solve for x
    x = 110,892,746.57/5,063.63
  6. Step 6: Final answer
    x = 21,899.87

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.