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Finding the Third Proportional to 35,796 and 52,598.13

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Solution

The third proportional to 35,796 and 52,598.13 is: 77,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,796 : 52,598.13 = 52,598.13 : x
  2. Step 2: Convert to fraction form
    35,796/52,598.13 = 52,598.13/x
  3. Step 3: Cross multiply
    35,796x = 52,598.13 × 52,598.13
  4. Step 4: Simplify right side
    35,796x = 2,766,562,753.52
  5. Step 5: Solve for x
    x = 2,766,562,753.52/35,796
  6. Step 6: Final answer
    x = 77,286.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.