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Finding the Third Proportional to 23,045 and 34,778

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Solution

The third proportional to 23,045 and 34,778 is: 52,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045 : 34,778 = 34,778 : x
  2. Step 2: Convert to fraction form
    23,045/34,778 = 34,778/x
  3. Step 3: Cross multiply
    23,045x = 34,778 × 34,778
  4. Step 4: Simplify right side
    23,045x = 1,209,509,284
  5. Step 5: Solve for x
    x = 1,209,509,284/23,045
  6. Step 6: Final answer
    x = 52,484.67

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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.