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Finding the Third Proportional to 10,547 and 16,793

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Solution

The third proportional to 10,547 and 16,793 is: 26,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547 : 16,793 = 16,793 : x
  2. Step 2: Convert to fraction form
    10,547/16,793 = 16,793/x
  3. Step 3: Cross multiply
    10,547x = 16,793 × 16,793
  4. Step 4: Simplify right side
    10,547x = 282,004,849
  5. Step 5: Solve for x
    x = 282,004,849/10,547
  6. Step 6: Final answer
    x = 26,737.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.