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Finding the Third Proportional to 11,547 and 16,513

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Solution

The third proportional to 11,547 and 16,513 is: 23,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547 : 16,513 = 16,513 : x
  2. Step 2: Convert to fraction form
    11,547/16,513 = 16,513/x
  3. Step 3: Cross multiply
    11,547x = 16,513 × 16,513
  4. Step 4: Simplify right side
    11,547x = 272,679,169
  5. Step 5: Solve for x
    x = 272,679,169/11,547
  6. Step 6: Final answer
    x = 23,614.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.