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Finding the Third Proportional to 21,046.50 and 46,041.50

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Solution

The third proportional to 21,046.50 and 46,041.50 is: 100,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.50 : 46,041.50 = 46,041.50 : x
  2. Step 2: Convert to fraction form
    21,046.50/46,041.50 = 46,041.50/x
  3. Step 3: Cross multiply
    21,046.50x = 46,041.50 × 46,041.50
  4. Step 4: Simplify right side
    21,046.50x = 2,119,819,722.25
  5. Step 5: Solve for x
    x = 2,119,819,722.25/21,046.50
  6. Step 6: Final answer
    x = 100,720.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.