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Finding the Third Proportional to 11,547 and 16,335

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Solution

The third proportional to 11,547 and 16,335 is: 23,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547 : 16,335 = 16,335 : x
  2. Step 2: Convert to fraction form
    11,547/16,335 = 16,335/x
  3. Step 3: Cross multiply
    11,547x = 16,335 × 16,335
  4. Step 4: Simplify right side
    11,547x = 266,832,225
  5. Step 5: Solve for x
    x = 266,832,225/11,547
  6. Step 6: Final answer
    x = 23,108.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.