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Finding the Third Proportional to 15,597.98 and 23,975.58

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Solution

The third proportional to 15,597.98 and 23,975.58 is: 36,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.98 : 23,975.58 = 23,975.58 : x
  2. Step 2: Convert to fraction form
    15,597.98/23,975.58 = 23,975.58/x
  3. Step 3: Cross multiply
    15,597.98x = 23,975.58 × 23,975.58
  4. Step 4: Simplify right side
    15,597.98x = 574,828,346.43
  5. Step 5: Solve for x
    x = 574,828,346.43/15,597.98
  6. Step 6: Final answer
    x = 36,852.73

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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.