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Finding the Third Proportional to 30,854 and 45,129

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Solution

The third proportional to 30,854 and 45,129 is: 66,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854 : 45,129 = 45,129 : x
  2. Step 2: Convert to fraction form
    30,854/45,129 = 45,129/x
  3. Step 3: Cross multiply
    30,854x = 45,129 × 45,129
  4. Step 4: Simplify right side
    30,854x = 2,036,626,641
  5. Step 5: Solve for x
    x = 2,036,626,641/30,854
  6. Step 6: Final answer
    x = 66,008.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.