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Finding the Third Proportional to 21,574 and 47,303

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Solution

The third proportional to 21,574 and 47,303 is: 103,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574 : 47,303 = 47,303 : x
  2. Step 2: Convert to fraction form
    21,574/47,303 = 47,303/x
  3. Step 3: Cross multiply
    21,574x = 47,303 × 47,303
  4. Step 4: Simplify right side
    21,574x = 2,237,573,809
  5. Step 5: Solve for x
    x = 2,237,573,809/21,574
  6. Step 6: Final answer
    x = 103,716.22

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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.