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Finding the Third Proportional to 13,929.75 and 30,048.75

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Solution

The third proportional to 13,929.75 and 30,048.75 is: 64,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.75 : 30,048.75 = 30,048.75 : x
  2. Step 2: Convert to fraction form
    13,929.75/30,048.75 = 30,048.75/x
  3. Step 3: Cross multiply
    13,929.75x = 30,048.75 × 30,048.75
  4. Step 4: Simplify right side
    13,929.75x = 902,927,376.56
  5. Step 5: Solve for x
    x = 902,927,376.56/13,929.75
  6. Step 6: Final answer
    x = 64,820.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.