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Finding the Third Proportional to 34,608 and 45,442.50

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Solution

The third proportional to 34,608 and 45,442.50 is: 59,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,608 : 45,442.50 = 45,442.50 : x
  2. Step 2: Convert to fraction form
    34,608/45,442.50 = 45,442.50/x
  3. Step 3: Cross multiply
    34,608x = 45,442.50 × 45,442.50
  4. Step 4: Simplify right side
    34,608x = 2,065,020,806.25
  5. Step 5: Solve for x
    x = 2,065,020,806.25/34,608
  6. Step 6: Final answer
    x = 59,668.89

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.