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Finding the Third Proportional to 32,388 and 70,779

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Solution

The third proportional to 32,388 and 70,779 is: 154,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,388 : 70,779 = 70,779 : x
  2. Step 2: Convert to fraction form
    32,388/70,779 = 70,779/x
  3. Step 3: Cross multiply
    32,388x = 70,779 × 70,779
  4. Step 4: Simplify right side
    32,388x = 5,009,666,841
  5. Step 5: Solve for x
    x = 5,009,666,841/32,388
  6. Step 6: Final answer
    x = 154,676.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.