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Finding the Third Proportional to 32,929 and 70,854

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Solution

The third proportional to 32,929 and 70,854 is: 152,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,929 : 70,854 = 70,854 : x
  2. Step 2: Convert to fraction form
    32,929/70,854 = 70,854/x
  3. Step 3: Cross multiply
    32,929x = 70,854 × 70,854
  4. Step 4: Simplify right side
    32,929x = 5,020,289,316
  5. Step 5: Solve for x
    x = 5,020,289,316/32,929
  6. Step 6: Final answer
    x = 152,457.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.