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Finding the Third Proportional to 24,780 and 38,265

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Solution

The third proportional to 24,780 and 38,265 is: 59,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780 : 38,265 = 38,265 : x
  2. Step 2: Convert to fraction form
    24,780/38,265 = 38,265/x
  3. Step 3: Cross multiply
    24,780x = 38,265 × 38,265
  4. Step 4: Simplify right side
    24,780x = 1,464,210,225
  5. Step 5: Solve for x
    x = 1,464,210,225/24,780
  6. Step 6: Final answer
    x = 59,088.39

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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.