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Finding the Third Proportional to 46,971 and 70,443

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Solution

The third proportional to 46,971 and 70,443 is: 105,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971 : 70,443 = 70,443 : x
  2. Step 2: Convert to fraction form
    46,971/70,443 = 70,443/x
  3. Step 3: Cross multiply
    46,971x = 70,443 × 70,443
  4. Step 4: Simplify right side
    46,971x = 4,962,216,249
  5. Step 5: Solve for x
    x = 4,962,216,249/46,971
  6. Step 6: Final answer
    x = 105,644.25

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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.