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Finding the Third Proportional to 10,701 and 23,209

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Solution

The third proportional to 10,701 and 23,209 is: 50,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701 : 23,209 = 23,209 : x
  2. Step 2: Convert to fraction form
    10,701/23,209 = 23,209/x
  3. Step 3: Cross multiply
    10,701x = 23,209 × 23,209
  4. Step 4: Simplify right side
    10,701x = 538,657,681
  5. Step 5: Solve for x
    x = 538,657,681/10,701
  6. Step 6: Final answer
    x = 50,337.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.