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Finding the Third Proportional to 22,833 and 46,291.50

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Solution

The third proportional to 22,833 and 46,291.50 is: 93,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833 : 46,291.50 = 46,291.50 : x
  2. Step 2: Convert to fraction form
    22,833/46,291.50 = 46,291.50/x
  3. Step 3: Cross multiply
    22,833x = 46,291.50 × 46,291.50
  4. Step 4: Simplify right side
    22,833x = 2,142,902,972.25
  5. Step 5: Solve for x
    x = 2,142,902,972.25/22,833
  6. Step 6: Final answer
    x = 93,851.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.