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Finding the Third Proportional to 9,871.40 and 15,173.74

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Solution

The third proportional to 9,871.40 and 15,173.74 is: 23,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.40 : 15,173.74 = 15,173.74 : x
  2. Step 2: Convert to fraction form
    9,871.40/15,173.74 = 15,173.74/x
  3. Step 3: Cross multiply
    9,871.40x = 15,173.74 × 15,173.74
  4. Step 4: Simplify right side
    9,871.40x = 230,242,274.16
  5. Step 5: Solve for x
    x = 230,242,274.16/9,871.40
  6. Step 6: Final answer
    x = 23,324.18

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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.