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Finding the Third Proportional to 35,056.13 and 76,537.13

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Solution

The third proportional to 35,056.13 and 76,537.13 is: 167,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,056.13 : 76,537.13 = 76,537.13 : x
  2. Step 2: Convert to fraction form
    35,056.13/76,537.13 = 76,537.13/x
  3. Step 3: Cross multiply
    35,056.13x = 76,537.13 × 76,537.13
  4. Step 4: Simplify right side
    35,056.13x = 5,857,931,503.27
  5. Step 5: Solve for x
    x = 5,857,931,503.27/35,056.13
  6. Step 6: Final answer
    x = 167,101.51

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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.