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Finding the Third Proportional to 32,104 and 46,688

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Solution

The third proportional to 32,104 and 46,688 is: 67,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104 : 46,688 = 46,688 : x
  2. Step 2: Convert to fraction form
    32,104/46,688 = 46,688/x
  3. Step 3: Cross multiply
    32,104x = 46,688 × 46,688
  4. Step 4: Simplify right side
    32,104x = 2,179,769,344
  5. Step 5: Solve for x
    x = 2,179,769,344/32,104
  6. Step 6: Final answer
    x = 67,897.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.