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Finding the Third Proportional to 23,065.88 and 29,473.88

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Solution

The third proportional to 23,065.88 and 29,473.88 is: 37,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.88 : 29,473.88 = 29,473.88 : x
  2. Step 2: Convert to fraction form
    23,065.88/29,473.88 = 29,473.88/x
  3. Step 3: Cross multiply
    23,065.88x = 29,473.88 × 29,473.88
  4. Step 4: Simplify right side
    23,065.88x = 868,709,307.52
  5. Step 5: Solve for x
    x = 868,709,307.52/23,065.88
  6. Step 6: Final answer
    x = 37,662.10

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.