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Finding the Third Proportional to 19,420 and 26,222

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Solution

The third proportional to 19,420 and 26,222 is: 35,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,420 : 26,222 = 26,222 : x
  2. Step 2: Convert to fraction form
    19,420/26,222 = 26,222/x
  3. Step 3: Cross multiply
    19,420x = 26,222 × 26,222
  4. Step 4: Simplify right side
    19,420x = 687,593,284
  5. Step 5: Solve for x
    x = 687,593,284/19,420
  6. Step 6: Final answer
    x = 35,406.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.