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Finding the Third Proportional to 19,698.19 and 30,276.28

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Solution

The third proportional to 19,698.19 and 30,276.28 is: 46,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.19 : 30,276.28 = 30,276.28 : x
  2. Step 2: Convert to fraction form
    19,698.19/30,276.28 = 30,276.28/x
  3. Step 3: Cross multiply
    19,698.19x = 30,276.28 × 30,276.28
  4. Step 4: Simplify right side
    19,698.19x = 916,653,206.33
  5. Step 5: Solve for x
    x = 916,653,206.33/19,698.19
  6. Step 6: Final answer
    x = 46,534.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.