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Finding the Third Proportional to 10,933 and 16,547

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Solution

The third proportional to 10,933 and 16,547 is: 25,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933 : 16,547 = 16,547 : x
  2. Step 2: Convert to fraction form
    10,933/16,547 = 16,547/x
  3. Step 3: Cross multiply
    10,933x = 16,547 × 16,547
  4. Step 4: Simplify right side
    10,933x = 273,803,209
  5. Step 5: Solve for x
    x = 273,803,209/10,933
  6. Step 6: Final answer
    x = 25,043.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.