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Finding the Third Proportional to 11,010 and 21,475.50

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Solution

The third proportional to 11,010 and 21,475.50 is: 41,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010 : 21,475.50 = 21,475.50 : x
  2. Step 2: Convert to fraction form
    11,010/21,475.50 = 21,475.50/x
  3. Step 3: Cross multiply
    11,010x = 21,475.50 × 21,475.50
  4. Step 4: Simplify right side
    11,010x = 461,197,100.25
  5. Step 5: Solve for x
    x = 461,197,100.25/11,010
  6. Step 6: Final answer
    x = 41,888.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.