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Finding the Third Proportional to 20,244.50 and 30,548.50

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Solution

The third proportional to 20,244.50 and 30,548.50 is: 46,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,244.50 : 30,548.50 = 30,548.50 : x
  2. Step 2: Convert to fraction form
    20,244.50/30,548.50 = 30,548.50/x
  3. Step 3: Cross multiply
    20,244.50x = 30,548.50 × 30,548.50
  4. Step 4: Simplify right side
    20,244.50x = 933,210,852.25
  5. Step 5: Solve for x
    x = 933,210,852.25/20,244.50
  6. Step 6: Final answer
    x = 46,097.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.