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Finding the Third Proportional to 9,971.44 and 15,437.81

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Solution

The third proportional to 9,971.44 and 15,437.81 is: 23,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.44 : 15,437.81 = 15,437.81 : x
  2. Step 2: Convert to fraction form
    9,971.44/15,437.81 = 15,437.81/x
  3. Step 3: Cross multiply
    9,971.44x = 15,437.81 × 15,437.81
  4. Step 4: Simplify right side
    9,971.44x = 238,326,054.79
  5. Step 5: Solve for x
    x = 238,326,054.79/9,971.44
  6. Step 6: Final answer
    x = 23,900.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.