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Finding the Third Proportional to 15,459 and 23,178

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Solution

The third proportional to 15,459 and 23,178 is: 34,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,459 : 23,178 = 23,178 : x
  2. Step 2: Convert to fraction form
    15,459/23,178 = 23,178/x
  3. Step 3: Cross multiply
    15,459x = 23,178 × 23,178
  4. Step 4: Simplify right side
    15,459x = 537,219,684
  5. Step 5: Solve for x
    x = 537,219,684/15,459
  6. Step 6: Final answer
    x = 34,751.26

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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.