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Finding the Third Proportional to 8,928 and 23,449.50

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Solution

The third proportional to 8,928 and 23,449.50 is: 61,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,928 : 23,449.50 = 23,449.50 : x
  2. Step 2: Convert to fraction form
    8,928/23,449.50 = 23,449.50/x
  3. Step 3: Cross multiply
    8,928x = 23,449.50 × 23,449.50
  4. Step 4: Simplify right side
    8,928x = 549,879,050.25
  5. Step 5: Solve for x
    x = 549,879,050.25/8,928
  6. Step 6: Final answer
    x = 61,590.40

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.