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Finding the Third Proportional to 15,880 and 23,346

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Solution

The third proportional to 15,880 and 23,346 is: 34,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 23,346 = 23,346 : x
  2. Step 2: Convert to fraction form
    15,880/23,346 = 23,346/x
  3. Step 3: Cross multiply
    15,880x = 23,346 × 23,346
  4. Step 4: Simplify right side
    15,880x = 545,035,716
  5. Step 5: Solve for x
    x = 545,035,716/15,880
  6. Step 6: Final answer
    x = 34,322.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.