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Finding the Third Proportional to 15,007 and 23,732

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Solution

The third proportional to 15,007 and 23,732 is: 37,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,007 : 23,732 = 23,732 : x
  2. Step 2: Convert to fraction form
    15,007/23,732 = 23,732/x
  3. Step 3: Cross multiply
    15,007x = 23,732 × 23,732
  4. Step 4: Simplify right side
    15,007x = 563,207,824
  5. Step 5: Solve for x
    x = 563,207,824/15,007
  6. Step 6: Final answer
    x = 37,529.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.