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Finding the Third Proportional to 32,981.44 and 77,779.41

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Solution

The third proportional to 32,981.44 and 77,779.41 is: 183,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.44 : 77,779.41 = 77,779.41 : x
  2. Step 2: Convert to fraction form
    32,981.44/77,779.41 = 77,779.41/x
  3. Step 3: Cross multiply
    32,981.44x = 77,779.41 × 77,779.41
  4. Step 4: Simplify right side
    32,981.44x = 6,049,636,036.60
  5. Step 5: Solve for x
    x = 6,049,636,036.60/32,981.44
  6. Step 6: Final answer
    x = 183,425.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.