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Finding the Third Proportional to 15,406 and 23,076

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Solution

The third proportional to 15,406 and 23,076 is: 34,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406 : 23,076 = 23,076 : x
  2. Step 2: Convert to fraction form
    15,406/23,076 = 23,076/x
  3. Step 3: Cross multiply
    15,406x = 23,076 × 23,076
  4. Step 4: Simplify right side
    15,406x = 532,501,776
  5. Step 5: Solve for x
    x = 532,501,776/15,406
  6. Step 6: Final answer
    x = 34,564.57

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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.