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Finding the Third Proportional to 24,390 and 35,718

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Solution

The third proportional to 24,390 and 35,718 is: 52,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,390 : 35,718 = 35,718 : x
  2. Step 2: Convert to fraction form
    24,390/35,718 = 35,718/x
  3. Step 3: Cross multiply
    24,390x = 35,718 × 35,718
  4. Step 4: Simplify right side
    24,390x = 1,275,775,524
  5. Step 5: Solve for x
    x = 1,275,775,524/24,390
  6. Step 6: Final answer
    x = 52,307.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.