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Finding the Third Proportional to 20,590 and 45,036

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Solution

The third proportional to 20,590 and 45,036 is: 98,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590 : 45,036 = 45,036 : x
  2. Step 2: Convert to fraction form
    20,590/45,036 = 45,036/x
  3. Step 3: Cross multiply
    20,590x = 45,036 × 45,036
  4. Step 4: Simplify right side
    20,590x = 2,028,241,296
  5. Step 5: Solve for x
    x = 2,028,241,296/20,590
  6. Step 6: Final answer
    x = 98,506.13

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Why These Related Problems?

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