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Finding the Third Proportional to 15,767 and 23,513

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Solution

The third proportional to 15,767 and 23,513 is: 35,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767 : 23,513 = 23,513 : x
  2. Step 2: Convert to fraction form
    15,767/23,513 = 23,513/x
  3. Step 3: Cross multiply
    15,767x = 23,513 × 23,513
  4. Step 4: Simplify right side
    15,767x = 552,861,169
  5. Step 5: Solve for x
    x = 552,861,169/15,767
  6. Step 6: Final answer
    x = 35,064.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.