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Finding the Third Proportional to 32,498 and 70,944

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Solution

The third proportional to 32,498 and 70,944 is: 154,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,498 : 70,944 = 70,944 : x
  2. Step 2: Convert to fraction form
    32,498/70,944 = 70,944/x
  3. Step 3: Cross multiply
    32,498x = 70,944 × 70,944
  4. Step 4: Simplify right side
    32,498x = 5,033,051,136
  5. Step 5: Solve for x
    x = 5,033,051,136/32,498
  6. Step 6: Final answer
    x = 154,872.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.