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Finding the Third Proportional to 15,044.50 and 30,147.50

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Solution

The third proportional to 15,044.50 and 30,147.50 is: 60,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,044.50 : 30,147.50 = 30,147.50 : x
  2. Step 2: Convert to fraction form
    15,044.50/30,147.50 = 30,147.50/x
  3. Step 3: Cross multiply
    15,044.50x = 30,147.50 × 30,147.50
  4. Step 4: Simplify right side
    15,044.50x = 908,871,756.25
  5. Step 5: Solve for x
    x = 908,871,756.25/15,044.50
  6. Step 6: Final answer
    x = 60,412.23

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.