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Finding the Third Proportional to 35,076 and 77,535.75

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Solution

The third proportional to 35,076 and 77,535.75 is: 171,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,076 : 77,535.75 = 77,535.75 : x
  2. Step 2: Convert to fraction form
    35,076/77,535.75 = 77,535.75/x
  3. Step 3: Cross multiply
    35,076x = 77,535.75 × 77,535.75
  4. Step 4: Simplify right side
    35,076x = 6,011,792,528.06
  5. Step 5: Solve for x
    x = 6,011,792,528.06/35,076
  6. Step 6: Final answer
    x = 171,393.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.