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Finding the Third Proportional to 46,657.13 and 70,849.69

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Solution

The third proportional to 46,657.13 and 70,849.69 is: 107,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,657.13 : 70,849.69 = 70,849.69 : x
  2. Step 2: Convert to fraction form
    46,657.13/70,849.69 = 70,849.69/x
  3. Step 3: Cross multiply
    46,657.13x = 70,849.69 × 70,849.69
  4. Step 4: Simplify right side
    46,657.13x = 5,019,678,218.85
  5. Step 5: Solve for x
    x = 5,019,678,218.85/46,657.13
  6. Step 6: Final answer
    x = 107,586.53

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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.