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Finding the Third Proportional to 6,528 and 10,737

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Solution

The third proportional to 6,528 and 10,737 is: 17,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528 : 10,737 = 10,737 : x
  2. Step 2: Convert to fraction form
    6,528/10,737 = 10,737/x
  3. Step 3: Cross multiply
    6,528x = 10,737 × 10,737
  4. Step 4: Simplify right side
    6,528x = 115,283,169
  5. Step 5: Solve for x
    x = 115,283,169/6,528
  6. Step 6: Final answer
    x = 17,659.80

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.