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Finding the Third Proportional to 19,252.69 and 21,075.19

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Solution

The third proportional to 19,252.69 and 21,075.19 is: 23,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252.69 : 21,075.19 = 21,075.19 : x
  2. Step 2: Convert to fraction form
    19,252.69/21,075.19 = 21,075.19/x
  3. Step 3: Cross multiply
    19,252.69x = 21,075.19 × 21,075.19
  4. Step 4: Simplify right side
    19,252.69x = 444,163,528.16
  5. Step 5: Solve for x
    x = 444,163,528.16/19,252.69
  6. Step 6: Final answer
    x = 23,070.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.