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Finding the Third Proportional to 4,746.80 and 10,388.53

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Solution

The third proportional to 4,746.80 and 10,388.53 is: 22,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.80 : 10,388.53 = 10,388.53 : x
  2. Step 2: Convert to fraction form
    4,746.80/10,388.53 = 10,388.53/x
  3. Step 3: Cross multiply
    4,746.80x = 10,388.53 × 10,388.53
  4. Step 4: Simplify right side
    4,746.80x = 107,921,581.53
  5. Step 5: Solve for x
    x = 107,921,581.53/4,746.80
  6. Step 6: Final answer
    x = 22,735.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.