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Finding the Third Proportional to 10,964 and 23,572

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Solution

The third proportional to 10,964 and 23,572 is: 50,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964 : 23,572 = 23,572 : x
  2. Step 2: Convert to fraction form
    10,964/23,572 = 23,572/x
  3. Step 3: Cross multiply
    10,964x = 23,572 × 23,572
  4. Step 4: Simplify right side
    10,964x = 555,639,184
  5. Step 5: Solve for x
    x = 555,639,184/10,964
  6. Step 6: Final answer
    x = 50,678.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.