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Finding the Third Proportional to 32,779.69 and 67,756.50

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Solution

The third proportional to 32,779.69 and 67,756.50 is: 140,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,779.69 : 67,756.50 = 67,756.50 : x
  2. Step 2: Convert to fraction form
    32,779.69/67,756.50 = 67,756.50/x
  3. Step 3: Cross multiply
    32,779.69x = 67,756.50 × 67,756.50
  4. Step 4: Simplify right side
    32,779.69x = 4,590,943,292.25
  5. Step 5: Solve for x
    x = 4,590,943,292.25/32,779.69
  6. Step 6: Final answer
    x = 140,054.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.