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Finding the Third Proportional to 10,930.46 and 23,533.03

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Solution

The third proportional to 10,930.46 and 23,533.03 is: 50,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.46 : 23,533.03 = 23,533.03 : x
  2. Step 2: Convert to fraction form
    10,930.46/23,533.03 = 23,533.03/x
  3. Step 3: Cross multiply
    10,930.46x = 23,533.03 × 23,533.03
  4. Step 4: Simplify right side
    10,930.46x = 553,803,559.81
  5. Step 5: Solve for x
    x = 553,803,559.81/10,930.46
  6. Step 6: Final answer
    x = 50,666.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.