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Finding the Third Proportional to 15,923.25 and 24,554.25

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Solution

The third proportional to 15,923.25 and 24,554.25 is: 37,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.25 : 24,554.25 = 24,554.25 : x
  2. Step 2: Convert to fraction form
    15,923.25/24,554.25 = 24,554.25/x
  3. Step 3: Cross multiply
    15,923.25x = 24,554.25 × 24,554.25
  4. Step 4: Simplify right side
    15,923.25x = 602,911,193.06
  5. Step 5: Solve for x
    x = 602,911,193.06/15,923.25
  6. Step 6: Final answer
    x = 37,863.58

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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.