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Finding the Third Proportional to 34,726.08 and 51,860.46

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Solution

The third proportional to 34,726.08 and 51,860.46 is: 77,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,726.08 : 51,860.46 = 51,860.46 : x
  2. Step 2: Convert to fraction form
    34,726.08/51,860.46 = 51,860.46/x
  3. Step 3: Cross multiply
    34,726.08x = 51,860.46 × 51,860.46
  4. Step 4: Simplify right side
    34,726.08x = 2,689,507,408.65
  5. Step 5: Solve for x
    x = 2,689,507,408.65/34,726.08
  6. Step 6: Final answer
    x = 77,449.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.