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Finding the Third Proportional to 23,048.88 and 35,597

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Solution

The third proportional to 23,048.88 and 35,597 is: 54,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.88 : 35,597 = 35,597 : x
  2. Step 2: Convert to fraction form
    23,048.88/35,597 = 35,597/x
  3. Step 3: Cross multiply
    23,048.88x = 35,597 × 35,597
  4. Step 4: Simplify right side
    23,048.88x = 1,267,146,409
  5. Step 5: Solve for x
    x = 1,267,146,409/23,048.88
  6. Step 6: Final answer
    x = 54,976.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.