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Finding the Third Proportional to 14,103 and 31,547.25

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Solution

The third proportional to 14,103 and 31,547.25 is: 70,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103 : 31,547.25 = 31,547.25 : x
  2. Step 2: Convert to fraction form
    14,103/31,547.25 = 31,547.25/x
  3. Step 3: Cross multiply
    14,103x = 31,547.25 × 31,547.25
  4. Step 4: Simplify right side
    14,103x = 995,228,982.56
  5. Step 5: Solve for x
    x = 995,228,982.56/14,103
  6. Step 6: Final answer
    x = 70,568.60

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.