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Finding the Third Proportional to 15,293.25 and 21,818.25

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Solution

The third proportional to 15,293.25 and 21,818.25 is: 31,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293.25 : 21,818.25 = 21,818.25 : x
  2. Step 2: Convert to fraction form
    15,293.25/21,818.25 = 21,818.25/x
  3. Step 3: Cross multiply
    15,293.25x = 21,818.25 × 21,818.25
  4. Step 4: Simplify right side
    15,293.25x = 476,036,033.06
  5. Step 5: Solve for x
    x = 476,036,033.06/15,293.25
  6. Step 6: Final answer
    x = 31,127.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.