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Finding the Third Proportional to 15,465 and 23,213

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Solution

The third proportional to 15,465 and 23,213 is: 34,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 23,213 = 23,213 : x
  2. Step 2: Convert to fraction form
    15,465/23,213 = 23,213/x
  3. Step 3: Cross multiply
    15,465x = 23,213 × 23,213
  4. Step 4: Simplify right side
    15,465x = 538,843,369
  5. Step 5: Solve for x
    x = 538,843,369/15,465
  6. Step 6: Final answer
    x = 34,842.77

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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.