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Finding the Third Proportional to 34,937.63 and 75,407.81

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Solution

The third proportional to 34,937.63 and 75,407.81 is: 162,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,937.63 : 75,407.81 = 75,407.81 : x
  2. Step 2: Convert to fraction form
    34,937.63/75,407.81 = 75,407.81/x
  3. Step 3: Cross multiply
    34,937.63x = 75,407.81 × 75,407.81
  4. Step 4: Simplify right side
    34,937.63x = 5,686,338,186.04
  5. Step 5: Solve for x
    x = 5,686,338,186.04/34,937.63
  6. Step 6: Final answer
    x = 162,756.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.