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Finding the Third Proportional to 23,590.50 and 34,413

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Solution

The third proportional to 23,590.50 and 34,413 is: 50,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.50 : 34,413 = 34,413 : x
  2. Step 2: Convert to fraction form
    23,590.50/34,413 = 34,413/x
  3. Step 3: Cross multiply
    23,590.50x = 34,413 × 34,413
  4. Step 4: Simplify right side
    23,590.50x = 1,184,254,569
  5. Step 5: Solve for x
    x = 1,184,254,569/23,590.50
  6. Step 6: Final answer
    x = 50,200.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.