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Finding the Third Proportional to 35,703.56 and 78,283.13

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Solution

The third proportional to 35,703.56 and 78,283.13 is: 171,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,703.56 : 78,283.13 = 78,283.13 : x
  2. Step 2: Convert to fraction form
    35,703.56/78,283.13 = 78,283.13/x
  3. Step 3: Cross multiply
    35,703.56x = 78,283.13 × 78,283.13
  4. Step 4: Simplify right side
    35,703.56x = 6,128,247,659.77
  5. Step 5: Solve for x
    x = 6,128,247,659.77/35,703.56
  6. Step 6: Final answer
    x = 171,642.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.