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Finding the Third Proportional to 19,342.69 and 26,097.19

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Solution

The third proportional to 19,342.69 and 26,097.19 is: 35,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,342.69 : 26,097.19 = 26,097.19 : x
  2. Step 2: Convert to fraction form
    19,342.69/26,097.19 = 26,097.19/x
  3. Step 3: Cross multiply
    19,342.69x = 26,097.19 × 26,097.19
  4. Step 4: Simplify right side
    19,342.69x = 681,063,195.41
  5. Step 5: Solve for x
    x = 681,063,195.41/19,342.69
  6. Step 6: Final answer
    x = 35,210.37

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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.