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Finding the Third Proportional to 15,888 and 23,354

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Solution

The third proportional to 15,888 and 23,354 is: 34,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888 : 23,354 = 23,354 : x
  2. Step 2: Convert to fraction form
    15,888/23,354 = 23,354/x
  3. Step 3: Cross multiply
    15,888x = 23,354 × 23,354
  4. Step 4: Simplify right side
    15,888x = 545,409,316
  5. Step 5: Solve for x
    x = 545,409,316/15,888
  6. Step 6: Final answer
    x = 34,328.38

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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.