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Finding the Third Proportional to 30,271.50 and 39,301.50

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Solution

The third proportional to 30,271.50 and 39,301.50 is: 51,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.50 : 39,301.50 = 39,301.50 : x
  2. Step 2: Convert to fraction form
    30,271.50/39,301.50 = 39,301.50/x
  3. Step 3: Cross multiply
    30,271.50x = 39,301.50 × 39,301.50
  4. Step 4: Simplify right side
    30,271.50x = 1,544,607,902.25
  5. Step 5: Solve for x
    x = 1,544,607,902.25/30,271.50
  6. Step 6: Final answer
    x = 51,025.15

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.