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Finding the Third Proportional to 28,708 and 42,119

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Solution

The third proportional to 28,708 and 42,119 is: 61,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,708 : 42,119 = 42,119 : x
  2. Step 2: Convert to fraction form
    28,708/42,119 = 42,119/x
  3. Step 3: Cross multiply
    28,708x = 42,119 × 42,119
  4. Step 4: Simplify right side
    28,708x = 1,774,010,161
  5. Step 5: Solve for x
    x = 1,774,010,161/28,708
  6. Step 6: Final answer
    x = 61,794.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.