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Finding the Third Proportional to 19,570 and 26,216

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Solution

The third proportional to 19,570 and 26,216 is: 35,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570 : 26,216 = 26,216 : x
  2. Step 2: Convert to fraction form
    19,570/26,216 = 26,216/x
  3. Step 3: Cross multiply
    19,570x = 26,216 × 26,216
  4. Step 4: Simplify right side
    19,570x = 687,278,656
  5. Step 5: Solve for x
    x = 687,278,656/19,570
  6. Step 6: Final answer
    x = 35,118.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.