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Finding the Third Proportional to 7,296 and 7,903.50

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Solution

The third proportional to 7,296 and 7,903.50 is: 8,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296 : 7,903.50 = 7,903.50 : x
  2. Step 2: Convert to fraction form
    7,296/7,903.50 = 7,903.50/x
  3. Step 3: Cross multiply
    7,296x = 7,903.50 × 7,903.50
  4. Step 4: Simplify right side
    7,296x = 62,465,312.25
  5. Step 5: Solve for x
    x = 62,465,312.25/7,296
  6. Step 6: Final answer
    x = 8,561.58

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.