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Finding the Third Proportional to 6,145.50 and 7,531.50

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Solution

The third proportional to 6,145.50 and 7,531.50 is: 9,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.50 : 7,531.50 = 7,531.50 : x
  2. Step 2: Convert to fraction form
    6,145.50/7,531.50 = 7,531.50/x
  3. Step 3: Cross multiply
    6,145.50x = 7,531.50 × 7,531.50
  4. Step 4: Simplify right side
    6,145.50x = 56,723,492.25
  5. Step 5: Solve for x
    x = 56,723,492.25/6,145.50
  6. Step 6: Final answer
    x = 9,230.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.