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Finding the Third Proportional to 6,045 and 9,492.75

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Solution

The third proportional to 6,045 and 9,492.75 is: 14,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045 : 9,492.75 = 9,492.75 : x
  2. Step 2: Convert to fraction form
    6,045/9,492.75 = 9,492.75/x
  3. Step 3: Cross multiply
    6,045x = 9,492.75 × 9,492.75
  4. Step 4: Simplify right side
    6,045x = 90,112,302.56
  5. Step 5: Solve for x
    x = 90,112,302.56/6,045
  6. Step 6: Final answer
    x = 14,906.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.