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Finding the Third Proportional to 21,064.50 and 46,509.75

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Solution

The third proportional to 21,064.50 and 46,509.75 is: 102,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.50 : 46,509.75 = 46,509.75 : x
  2. Step 2: Convert to fraction form
    21,064.50/46,509.75 = 46,509.75/x
  3. Step 3: Cross multiply
    21,064.50x = 46,509.75 × 46,509.75
  4. Step 4: Simplify right side
    21,064.50x = 2,163,156,845.06
  5. Step 5: Solve for x
    x = 2,163,156,845.06/21,064.50
  6. Step 6: Final answer
    x = 102,692.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.