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Finding the Third Proportional to 32,138.65 and 70,506.07

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Solution

The third proportional to 32,138.65 and 70,506.07 is: 154,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.65 : 70,506.07 = 70,506.07 : x
  2. Step 2: Convert to fraction form
    32,138.65/70,506.07 = 70,506.07/x
  3. Step 3: Cross multiply
    32,138.65x = 70,506.07 × 70,506.07
  4. Step 4: Simplify right side
    32,138.65x = 4,971,105,950.91
  5. Step 5: Solve for x
    x = 4,971,105,950.91/32,138.65
  6. Step 6: Final answer
    x = 154,676.88

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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.