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Finding the Third Proportional to 25,128.56 and 34,106.06

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Solution

The third proportional to 25,128.56 and 34,106.06 is: 46,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128.56 : 34,106.06 = 34,106.06 : x
  2. Step 2: Convert to fraction form
    25,128.56/34,106.06 = 34,106.06/x
  3. Step 3: Cross multiply
    25,128.56x = 34,106.06 × 34,106.06
  4. Step 4: Simplify right side
    25,128.56x = 1,163,223,499.25
  5. Step 5: Solve for x
    x = 1,163,223,499.25/25,128.56
  6. Step 6: Final answer
    x = 46,290.89

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.