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Finding the Third Proportional to 7,749 and 20,614.50

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Solution

The third proportional to 7,749 and 20,614.50 is: 54,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 20,614.50 = 20,614.50 : x
  2. Step 2: Convert to fraction form
    7,749/20,614.50 = 20,614.50/x
  3. Step 3: Cross multiply
    7,749x = 20,614.50 × 20,614.50
  4. Step 4: Simplify right side
    7,749x = 424,957,610.25
  5. Step 5: Solve for x
    x = 424,957,610.25/7,749
  6. Step 6: Final answer
    x = 54,840.32

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.