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Finding the Third Proportional to 36,468 and 46,595.25

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Solution

The third proportional to 36,468 and 46,595.25 is: 59,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 46,595.25 = 46,595.25 : x
  2. Step 2: Convert to fraction form
    36,468/46,595.25 = 46,595.25/x
  3. Step 3: Cross multiply
    36,468x = 46,595.25 × 46,595.25
  4. Step 4: Simplify right side
    36,468x = 2,171,117,322.56
  5. Step 5: Solve for x
    x = 2,171,117,322.56/36,468
  6. Step 6: Final answer
    x = 59,534.86

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.