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Finding the Third Proportional to 15,353 and 23,708

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Solution

The third proportional to 15,353 and 23,708 is: 36,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,353 : 23,708 = 23,708 : x
  2. Step 2: Convert to fraction form
    15,353/23,708 = 23,708/x
  3. Step 3: Cross multiply
    15,353x = 23,708 × 23,708
  4. Step 4: Simplify right side
    15,353x = 562,069,264
  5. Step 5: Solve for x
    x = 562,069,264/15,353
  6. Step 6: Final answer
    x = 36,609.74

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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.