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Finding the Third Proportional to 10,152 and 22,203

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Solution

The third proportional to 10,152 and 22,203 is: 48,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152 : 22,203 = 22,203 : x
  2. Step 2: Convert to fraction form
    10,152/22,203 = 22,203/x
  3. Step 3: Cross multiply
    10,152x = 22,203 × 22,203
  4. Step 4: Simplify right side
    10,152x = 492,973,209
  5. Step 5: Solve for x
    x = 492,973,209/10,152
  6. Step 6: Final answer
    x = 48,559.22

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Why These Related Problems?

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