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Finding the Third Proportional to 32,358 and 46,761

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Solution

The third proportional to 32,358 and 46,761 is: 67,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358 : 46,761 = 46,761 : x
  2. Step 2: Convert to fraction form
    32,358/46,761 = 46,761/x
  3. Step 3: Cross multiply
    32,358x = 46,761 × 46,761
  4. Step 4: Simplify right side
    32,358x = 2,186,591,121
  5. Step 5: Solve for x
    x = 2,186,591,121/32,358
  6. Step 6: Final answer
    x = 67,574.98

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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.