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Finding the Third Proportional to 30,657 and 46,877

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Solution

The third proportional to 30,657 and 46,877 is: 71,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657 : 46,877 = 46,877 : x
  2. Step 2: Convert to fraction form
    30,657/46,877 = 46,877/x
  3. Step 3: Cross multiply
    30,657x = 46,877 × 46,877
  4. Step 4: Simplify right side
    30,657x = 2,197,453,129
  5. Step 5: Solve for x
    x = 2,197,453,129/30,657
  6. Step 6: Final answer
    x = 71,678.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.