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Finding the Third Proportional to 21,202 and 46,574

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Solution

The third proportional to 21,202 and 46,574 is: 102,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202 : 46,574 = 46,574 : x
  2. Step 2: Convert to fraction form
    21,202/46,574 = 46,574/x
  3. Step 3: Cross multiply
    21,202x = 46,574 × 46,574
  4. Step 4: Simplify right side
    21,202x = 2,169,137,476
  5. Step 5: Solve for x
    x = 2,169,137,476/21,202
  6. Step 6: Final answer
    x = 102,308.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.