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Finding the Third Proportional to 25,152.50 and 34,038

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Solution

The third proportional to 25,152.50 and 34,038 is: 46,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.50 : 34,038 = 34,038 : x
  2. Step 2: Convert to fraction form
    25,152.50/34,038 = 34,038/x
  3. Step 3: Cross multiply
    25,152.50x = 34,038 × 34,038
  4. Step 4: Simplify right side
    25,152.50x = 1,158,585,444
  5. Step 5: Solve for x
    x = 1,158,585,444/25,152.50
  6. Step 6: Final answer
    x = 46,062.44

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.