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Finding the Third Proportional to 46,720 and 71,814

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Solution

The third proportional to 46,720 and 71,814 is: 110,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,720 : 71,814 = 71,814 : x
  2. Step 2: Convert to fraction form
    46,720/71,814 = 71,814/x
  3. Step 3: Cross multiply
    46,720x = 71,814 × 71,814
  4. Step 4: Simplify right side
    46,720x = 5,157,250,596
  5. Step 5: Solve for x
    x = 5,157,250,596/46,720
  6. Step 6: Final answer
    x = 110,386.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.