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Finding the Third Proportional to 15,359 and 23,097

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Solution

The third proportional to 15,359 and 23,097 is: 34,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,359 : 23,097 = 23,097 : x
  2. Step 2: Convert to fraction form
    15,359/23,097 = 23,097/x
  3. Step 3: Cross multiply
    15,359x = 23,097 × 23,097
  4. Step 4: Simplify right side
    15,359x = 533,471,409
  5. Step 5: Solve for x
    x = 533,471,409/15,359
  6. Step 6: Final answer
    x = 34,733.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.