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Finding the Third Proportional to 953.02 and 2,225.60

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Solution

The third proportional to 953.02 and 2,225.60 is: 5,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 2,225.60 = 2,225.60 : x
  2. Step 2: Convert to fraction form
    953.02/2,225.60 = 2,225.60/x
  3. Step 3: Cross multiply
    953.02x = 2,225.60 × 2,225.60
  4. Step 4: Simplify right side
    953.02x = 4,953,302.32
  5. Step 5: Solve for x
    x = 4,953,302.32/953.02
  6. Step 6: Final answer
    x = 5,197.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.