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Finding the Third Proportional to 43,000 and 64,752

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Solution

The third proportional to 43,000 and 64,752 is: 97,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,000 : 64,752 = 64,752 : x
  2. Step 2: Convert to fraction form
    43,000/64,752 = 64,752/x
  3. Step 3: Cross multiply
    43,000x = 64,752 × 64,752
  4. Step 4: Simplify right side
    43,000x = 4,192,821,504
  5. Step 5: Solve for x
    x = 4,192,821,504/43,000
  6. Step 6: Final answer
    x = 97,507.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.