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Finding the Third Proportional to 35,779.50 and 77,709.75

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Solution

The third proportional to 35,779.50 and 77,709.75 is: 168,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,779.50 : 77,709.75 = 77,709.75 : x
  2. Step 2: Convert to fraction form
    35,779.50/77,709.75 = 77,709.75/x
  3. Step 3: Cross multiply
    35,779.50x = 77,709.75 × 77,709.75
  4. Step 4: Simplify right side
    35,779.50x = 6,038,805,245.06
  5. Step 5: Solve for x
    x = 6,038,805,245.06/35,779.50
  6. Step 6: Final answer
    x = 168,778.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.