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Finding the Third Proportional to 4,929.75 and 10,820.25

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Solution

The third proportional to 4,929.75 and 10,820.25 is: 23,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.75 : 10,820.25 = 10,820.25 : x
  2. Step 2: Convert to fraction form
    4,929.75/10,820.25 = 10,820.25/x
  3. Step 3: Cross multiply
    4,929.75x = 10,820.25 × 10,820.25
  4. Step 4: Simplify right side
    4,929.75x = 117,077,810.06
  5. Step 5: Solve for x
    x = 117,077,810.06/4,929.75
  6. Step 6: Final answer
    x = 23,749.24

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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.