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Finding the Third Proportional to 32,673 and 70,746

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Solution

The third proportional to 32,673 and 70,746 is: 153,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,673 : 70,746 = 70,746 : x
  2. Step 2: Convert to fraction form
    32,673/70,746 = 70,746/x
  3. Step 3: Cross multiply
    32,673x = 70,746 × 70,746
  4. Step 4: Simplify right side
    32,673x = 5,004,996,516
  5. Step 5: Solve for x
    x = 5,004,996,516/32,673
  6. Step 6: Final answer
    x = 153,184.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.