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Finding the Third Proportional to 34,052 and 45,768

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Solution

The third proportional to 34,052 and 45,768 is: 61,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052 : 45,768 = 45,768 : x
  2. Step 2: Convert to fraction form
    34,052/45,768 = 45,768/x
  3. Step 3: Cross multiply
    34,052x = 45,768 × 45,768
  4. Step 4: Simplify right side
    34,052x = 2,094,709,824
  5. Step 5: Solve for x
    x = 2,094,709,824/34,052
  6. Step 6: Final answer
    x = 61,515.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.