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Finding the Third Proportional to 32,054 and 69,637

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Solution

The third proportional to 32,054 and 69,637 is: 151,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054 : 69,637 = 69,637 : x
  2. Step 2: Convert to fraction form
    32,054/69,637 = 69,637/x
  3. Step 3: Cross multiply
    32,054x = 69,637 × 69,637
  4. Step 4: Simplify right side
    32,054x = 4,849,311,769
  5. Step 5: Solve for x
    x = 4,849,311,769/32,054
  6. Step 6: Final answer
    x = 151,285.70

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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.