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Finding the Third Proportional to 32,038.88 and 70,314.75

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Solution

The third proportional to 32,038.88 and 70,314.75 is: 154,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.88 : 70,314.75 = 70,314.75 : x
  2. Step 2: Convert to fraction form
    32,038.88/70,314.75 = 70,314.75/x
  3. Step 3: Cross multiply
    32,038.88x = 70,314.75 × 70,314.75
  4. Step 4: Simplify right side
    32,038.88x = 4,944,164,067.56
  5. Step 5: Solve for x
    x = 4,944,164,067.56/32,038.88
  6. Step 6: Final answer
    x = 154,317.66

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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.