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Finding the Third Proportional to 23,412.56 and 38,038.69

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Solution

The third proportional to 23,412.56 and 38,038.69 is: 61,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.56 : 38,038.69 = 38,038.69 : x
  2. Step 2: Convert to fraction form
    23,412.56/38,038.69 = 38,038.69/x
  3. Step 3: Cross multiply
    23,412.56x = 38,038.69 × 38,038.69
  4. Step 4: Simplify right side
    23,412.56x = 1,446,941,746.72
  5. Step 5: Solve for x
    x = 1,446,941,746.72/23,412.56
  6. Step 6: Final answer
    x = 61,801.94

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.