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Finding the Third Proportional to 20,056 and 28,664

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Solution

The third proportional to 20,056 and 28,664 is: 40,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056 : 28,664 = 28,664 : x
  2. Step 2: Convert to fraction form
    20,056/28,664 = 28,664/x
  3. Step 3: Cross multiply
    20,056x = 28,664 × 28,664
  4. Step 4: Simplify right side
    20,056x = 821,624,896
  5. Step 5: Solve for x
    x = 821,624,896/20,056
  6. Step 6: Final answer
    x = 40,966.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.