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Finding the Third Proportional to 15,688 and 23,009

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Solution

The third proportional to 15,688 and 23,009 is: 33,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688 : 23,009 = 23,009 : x
  2. Step 2: Convert to fraction form
    15,688/23,009 = 23,009/x
  3. Step 3: Cross multiply
    15,688x = 23,009 × 23,009
  4. Step 4: Simplify right side
    15,688x = 529,414,081
  5. Step 5: Solve for x
    x = 529,414,081/15,688
  6. Step 6: Final answer
    x = 33,746.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.