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Finding the Third Proportional to 21,130.50 and 43,354.50

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Solution

The third proportional to 21,130.50 and 43,354.50 is: 88,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.50 : 43,354.50 = 43,354.50 : x
  2. Step 2: Convert to fraction form
    21,130.50/43,354.50 = 43,354.50/x
  3. Step 3: Cross multiply
    21,130.50x = 43,354.50 × 43,354.50
  4. Step 4: Simplify right side
    21,130.50x = 1,879,612,670.25
  5. Step 5: Solve for x
    x = 1,879,612,670.25/21,130.50
  6. Step 6: Final answer
    x = 88,952.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.