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Finding the Third Proportional to 10,041.26 and 21,810.94

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Solution

The third proportional to 10,041.26 and 21,810.94 is: 47,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.26 : 21,810.94 = 21,810.94 : x
  2. Step 2: Convert to fraction form
    10,041.26/21,810.94 = 21,810.94/x
  3. Step 3: Cross multiply
    10,041.26x = 21,810.94 × 21,810.94
  4. Step 4: Simplify right side
    10,041.26x = 475,716,994.63
  5. Step 5: Solve for x
    x = 475,716,994.63/10,041.26
  6. Step 6: Final answer
    x = 47,376.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.