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Finding the Third Proportional to 15,532 and 23,705

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Solution

The third proportional to 15,532 and 23,705 is: 36,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532 : 23,705 = 23,705 : x
  2. Step 2: Convert to fraction form
    15,532/23,705 = 23,705/x
  3. Step 3: Cross multiply
    15,532x = 23,705 × 23,705
  4. Step 4: Simplify right side
    15,532x = 561,927,025
  5. Step 5: Solve for x
    x = 561,927,025/15,532
  6. Step 6: Final answer
    x = 36,178.67

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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.