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Finding the Third Proportional to 35,756.63 and 77,133.75

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Solution

The third proportional to 35,756.63 and 77,133.75 is: 166,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,756.63 : 77,133.75 = 77,133.75 : x
  2. Step 2: Convert to fraction form
    35,756.63/77,133.75 = 77,133.75/x
  3. Step 3: Cross multiply
    35,756.63x = 77,133.75 × 77,133.75
  4. Step 4: Simplify right side
    35,756.63x = 5,949,615,389.06
  5. Step 5: Solve for x
    x = 5,949,615,389.06/35,756.63
  6. Step 6: Final answer
    x = 166,391.97

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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.