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Finding the Third Proportional to 4,728.50 and 10,275.25

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Solution

The third proportional to 4,728.50 and 10,275.25 is: 22,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.50 : 10,275.25 = 10,275.25 : x
  2. Step 2: Convert to fraction form
    4,728.50/10,275.25 = 10,275.25/x
  3. Step 3: Cross multiply
    4,728.50x = 10,275.25 × 10,275.25
  4. Step 4: Simplify right side
    4,728.50x = 105,580,762.56
  5. Step 5: Solve for x
    x = 105,580,762.56/4,728.50
  6. Step 6: Final answer
    x = 22,328.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.