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Finding the Third Proportional to 44,000 and 70,842

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Solution

The third proportional to 44,000 and 70,842 is: 114,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,000 : 70,842 = 70,842 : x
  2. Step 2: Convert to fraction form
    44,000/70,842 = 70,842/x
  3. Step 3: Cross multiply
    44,000x = 70,842 × 70,842
  4. Step 4: Simplify right side
    44,000x = 5,018,588,964
  5. Step 5: Solve for x
    x = 5,018,588,964/44,000
  6. Step 6: Final answer
    x = 114,058.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.