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Finding the Third Proportional to 7,492.50 and 10,032.75

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Solution

The third proportional to 7,492.50 and 10,032.75 is: 13,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.50 : 10,032.75 = 10,032.75 : x
  2. Step 2: Convert to fraction form
    7,492.50/10,032.75 = 10,032.75/x
  3. Step 3: Cross multiply
    7,492.50x = 10,032.75 × 10,032.75
  4. Step 4: Simplify right side
    7,492.50x = 100,656,072.56
  5. Step 5: Solve for x
    x = 100,656,072.56/7,492.50
  6. Step 6: Final answer
    x = 13,434.24

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.