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Finding the Third Proportional to 25,646.63 and 29,291.63

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Solution

The third proportional to 25,646.63 and 29,291.63 is: 33,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.63 : 29,291.63 = 29,291.63 : x
  2. Step 2: Convert to fraction form
    25,646.63/29,291.63 = 29,291.63/x
  3. Step 3: Cross multiply
    25,646.63x = 29,291.63 × 29,291.63
  4. Step 4: Simplify right side
    25,646.63x = 857,999,295.14
  5. Step 5: Solve for x
    x = 857,999,295.14/25,646.63
  6. Step 6: Final answer
    x = 33,454.67

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.