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Finding the Third Proportional to 32,488 and 70,970

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Solution

The third proportional to 32,488 and 70,970 is: 155,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488 : 70,970 = 70,970 : x
  2. Step 2: Convert to fraction form
    32,488/70,970 = 70,970/x
  3. Step 3: Cross multiply
    32,488x = 70,970 × 70,970
  4. Step 4: Simplify right side
    32,488x = 5,036,740,900
  5. Step 5: Solve for x
    x = 5,036,740,900/32,488
  6. Step 6: Final answer
    x = 155,033.89

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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.