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Finding the Third Proportional to 32,214 and 70,779.56

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Solution

The third proportional to 32,214 and 70,779.56 is: 155,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214 : 70,779.56 = 70,779.56 : x
  2. Step 2: Convert to fraction form
    32,214/70,779.56 = 70,779.56/x
  3. Step 3: Cross multiply
    32,214x = 70,779.56 × 70,779.56
  4. Step 4: Simplify right side
    32,214x = 5,009,746,467.69
  5. Step 5: Solve for x
    x = 5,009,746,467.69/32,214
  6. Step 6: Final answer
    x = 155,514.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.