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Finding the Third Proportional to 29,301.75 and 46,706.63

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Solution

The third proportional to 29,301.75 and 46,706.63 is: 74,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301.75 : 46,706.63 = 46,706.63 : x
  2. Step 2: Convert to fraction form
    29,301.75/46,706.63 = 46,706.63/x
  3. Step 3: Cross multiply
    29,301.75x = 46,706.63 × 46,706.63
  4. Step 4: Simplify right side
    29,301.75x = 2,181,508,818.89
  5. Step 5: Solve for x
    x = 2,181,508,818.89/29,301.75
  6. Step 6: Final answer
    x = 74,449.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.