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Finding the Third Proportional to 30,507.75 and 55,953

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Solution

The third proportional to 30,507.75 and 55,953 is: 102,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.75 : 55,953 = 55,953 : x
  2. Step 2: Convert to fraction form
    30,507.75/55,953 = 55,953/x
  3. Step 3: Cross multiply
    30,507.75x = 55,953 × 55,953
  4. Step 4: Simplify right side
    30,507.75x = 3,130,738,209
  5. Step 5: Solve for x
    x = 3,130,738,209/30,507.75
  6. Step 6: Final answer
    x = 102,621.08

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.