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Finding the Third Proportional to 21,201 and 46,047

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Solution

The third proportional to 21,201 and 46,047 is: 100,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201 : 46,047 = 46,047 : x
  2. Step 2: Convert to fraction form
    21,201/46,047 = 46,047/x
  3. Step 3: Cross multiply
    21,201x = 46,047 × 46,047
  4. Step 4: Simplify right side
    21,201x = 2,120,326,209
  5. Step 5: Solve for x
    x = 2,120,326,209/21,201
  6. Step 6: Final answer
    x = 100,010.67

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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.