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Finding the Third Proportional to 20,948 and 46,024

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Solution

The third proportional to 20,948 and 46,024 is: 101,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948 : 46,024 = 46,024 : x
  2. Step 2: Convert to fraction form
    20,948/46,024 = 46,024/x
  3. Step 3: Cross multiply
    20,948x = 46,024 × 46,024
  4. Step 4: Simplify right side
    20,948x = 2,118,208,576
  5. Step 5: Solve for x
    x = 2,118,208,576/20,948
  6. Step 6: Final answer
    x = 101,117.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.