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Finding the Third Proportional to 15,642 and 23,465

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Solution

The third proportional to 15,642 and 23,465 is: 35,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 23,465 = 23,465 : x
  2. Step 2: Convert to fraction form
    15,642/23,465 = 23,465/x
  3. Step 3: Cross multiply
    15,642x = 23,465 × 23,465
  4. Step 4: Simplify right side
    15,642x = 550,606,225
  5. Step 5: Solve for x
    x = 550,606,225/15,642
  6. Step 6: Final answer
    x = 35,200.50

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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.