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Finding the Third Proportional to 3,573.70 and 5,386.92

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Solution

The third proportional to 3,573.70 and 5,386.92 is: 8,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.70 : 5,386.92 = 5,386.92 : x
  2. Step 2: Convert to fraction form
    3,573.70/5,386.92 = 5,386.92/x
  3. Step 3: Cross multiply
    3,573.70x = 5,386.92 × 5,386.92
  4. Step 4: Simplify right side
    3,573.70x = 29,018,927.29
  5. Step 5: Solve for x
    x = 29,018,927.29/3,573.70
  6. Step 6: Final answer
    x = 8,120.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.