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Finding the Third Proportional to 9,578.25 and 14,031.56

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Solution

The third proportional to 9,578.25 and 14,031.56 is: 20,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.25 : 14,031.56 = 14,031.56 : x
  2. Step 2: Convert to fraction form
    9,578.25/14,031.56 = 14,031.56/x
  3. Step 3: Cross multiply
    9,578.25x = 14,031.56 × 14,031.56
  4. Step 4: Simplify right side
    9,578.25x = 196,884,746.19
  5. Step 5: Solve for x
    x = 196,884,746.19/9,578.25
  6. Step 6: Final answer
    x = 20,555.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.