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Finding the Third Proportional to 3,029.47 and 4,547.34

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Solution

The third proportional to 3,029.47 and 4,547.34 is: 6,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.47 : 4,547.34 = 4,547.34 : x
  2. Step 2: Convert to fraction form
    3,029.47/4,547.34 = 4,547.34/x
  3. Step 3: Cross multiply
    3,029.47x = 4,547.34 × 4,547.34
  4. Step 4: Simplify right side
    3,029.47x = 20,678,335.18
  5. Step 5: Solve for x
    x = 20,678,335.18/3,029.47
  6. Step 6: Final answer
    x = 6,825.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.