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Finding the Third Proportional to 14,242.50 and 20,904.75

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Solution

The third proportional to 14,242.50 and 20,904.75 is: 30,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.50 : 20,904.75 = 20,904.75 : x
  2. Step 2: Convert to fraction form
    14,242.50/20,904.75 = 20,904.75/x
  3. Step 3: Cross multiply
    14,242.50x = 20,904.75 × 20,904.75
  4. Step 4: Simplify right side
    14,242.50x = 437,008,572.56
  5. Step 5: Solve for x
    x = 437,008,572.56/14,242.50
  6. Step 6: Final answer
    x = 30,683.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.