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Finding the Third Proportional to 7,437 and 16,513

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Solution

The third proportional to 7,437 and 16,513 is: 36,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437 : 16,513 = 16,513 : x
  2. Step 2: Convert to fraction form
    7,437/16,513 = 16,513/x
  3. Step 3: Cross multiply
    7,437x = 16,513 × 16,513
  4. Step 4: Simplify right side
    7,437x = 272,679,169
  5. Step 5: Solve for x
    x = 272,679,169/7,437
  6. Step 6: Final answer
    x = 36,665.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.