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Finding the Third Proportional to 21,136 and 32,709

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Solution

The third proportional to 21,136 and 32,709 is: 50,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136 : 32,709 = 32,709 : x
  2. Step 2: Convert to fraction form
    21,136/32,709 = 32,709/x
  3. Step 3: Cross multiply
    21,136x = 32,709 × 32,709
  4. Step 4: Simplify right side
    21,136x = 1,069,878,681
  5. Step 5: Solve for x
    x = 1,069,878,681/21,136
  6. Step 6: Final answer
    x = 50,618.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.