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Finding the Third Proportional to 23,490 and 35,979.19

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Solution

The third proportional to 23,490 and 35,979.19 is: 55,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490 : 35,979.19 = 35,979.19 : x
  2. Step 2: Convert to fraction form
    23,490/35,979.19 = 35,979.19/x
  3. Step 3: Cross multiply
    23,490x = 35,979.19 × 35,979.19
  4. Step 4: Simplify right side
    23,490x = 1,294,501,933.16
  5. Step 5: Solve for x
    x = 1,294,501,933.16/23,490
  6. Step 6: Final answer
    x = 55,108.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.