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Finding the Third Proportional to 25,598 and 55,357.75

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Solution

The third proportional to 25,598 and 55,357.75 is: 119,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598 : 55,357.75 = 55,357.75 : x
  2. Step 2: Convert to fraction form
    25,598/55,357.75 = 55,357.75/x
  3. Step 3: Cross multiply
    25,598x = 55,357.75 × 55,357.75
  4. Step 4: Simplify right side
    25,598x = 3,064,480,485.06
  5. Step 5: Solve for x
    x = 3,064,480,485.06/25,598
  6. Step 6: Final answer
    x = 119,715.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.