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Finding the Third Proportional to 35,675.44 and 77,706.84

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Solution

The third proportional to 35,675.44 and 77,706.84 is: 169,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.44 : 77,706.84 = 77,706.84 : x
  2. Step 2: Convert to fraction form
    35,675.44/77,706.84 = 77,706.84/x
  3. Step 3: Cross multiply
    35,675.44x = 77,706.84 × 77,706.84
  4. Step 4: Simplify right side
    35,675.44x = 6,038,353,565.59
  5. Step 5: Solve for x
    x = 6,038,353,565.59/35,675.44
  6. Step 6: Final answer
    x = 169,258.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.