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Finding the Third Proportional to 32,246 and 45,669

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Solution

The third proportional to 32,246 and 45,669 is: 64,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,246 : 45,669 = 45,669 : x
  2. Step 2: Convert to fraction form
    32,246/45,669 = 45,669/x
  3. Step 3: Cross multiply
    32,246x = 45,669 × 45,669
  4. Step 4: Simplify right side
    32,246x = 2,085,657,561
  5. Step 5: Solve for x
    x = 2,085,657,561/32,246
  6. Step 6: Final answer
    x = 64,679.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.