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Finding the Third Proportional to 35,200.13 and 73,312.59

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Solution

The third proportional to 35,200.13 and 73,312.59 is: 152,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200.13 : 73,312.59 = 73,312.59 : x
  2. Step 2: Convert to fraction form
    35,200.13/73,312.59 = 73,312.59/x
  3. Step 3: Cross multiply
    35,200.13x = 73,312.59 × 73,312.59
  4. Step 4: Simplify right side
    35,200.13x = 5,374,736,402.35
  5. Step 5: Solve for x
    x = 5,374,736,402.35/35,200.13
  6. Step 6: Final answer
    x = 152,690.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.