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Finding the Third Proportional to 25,498.55 and 29,477.67

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Solution

The third proportional to 25,498.55 and 29,477.67 is: 34,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498.55 : 29,477.67 = 29,477.67 : x
  2. Step 2: Convert to fraction form
    25,498.55/29,477.67 = 29,477.67/x
  3. Step 3: Cross multiply
    25,498.55x = 29,477.67 × 29,477.67
  4. Step 4: Simplify right side
    25,498.55x = 868,933,139.17
  5. Step 5: Solve for x
    x = 868,933,139.17/25,498.55
  6. Step 6: Final answer
    x = 34,077.75

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.