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Finding the Third Proportional to 10,312 and 15,446

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Solution

The third proportional to 10,312 and 15,446 is: 23,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312 : 15,446 = 15,446 : x
  2. Step 2: Convert to fraction form
    10,312/15,446 = 15,446/x
  3. Step 3: Cross multiply
    10,312x = 15,446 × 15,446
  4. Step 4: Simplify right side
    10,312x = 238,578,916
  5. Step 5: Solve for x
    x = 238,578,916/10,312
  6. Step 6: Final answer
    x = 23,136.05

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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.