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Finding the Third Proportional to 30,704 and 46,657

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Solution

The third proportional to 30,704 and 46,657 is: 70,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704 : 46,657 = 46,657 : x
  2. Step 2: Convert to fraction form
    30,704/46,657 = 46,657/x
  3. Step 3: Cross multiply
    30,704x = 46,657 × 46,657
  4. Step 4: Simplify right side
    30,704x = 2,176,875,649
  5. Step 5: Solve for x
    x = 2,176,875,649/30,704
  6. Step 6: Final answer
    x = 70,898.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.