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Finding the Third Proportional to 15,502 and 23,712

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Solution

The third proportional to 15,502 and 23,712 is: 36,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502 : 23,712 = 23,712 : x
  2. Step 2: Convert to fraction form
    15,502/23,712 = 23,712/x
  3. Step 3: Cross multiply
    15,502x = 23,712 × 23,712
  4. Step 4: Simplify right side
    15,502x = 562,258,944
  5. Step 5: Solve for x
    x = 562,258,944/15,502
  6. Step 6: Final answer
    x = 36,270.09

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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.