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Finding the Third Proportional to 10,352 and 22,709

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Solution

The third proportional to 10,352 and 22,709 is: 49,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352 : 22,709 = 22,709 : x
  2. Step 2: Convert to fraction form
    10,352/22,709 = 22,709/x
  3. Step 3: Cross multiply
    10,352x = 22,709 × 22,709
  4. Step 4: Simplify right side
    10,352x = 515,698,681
  5. Step 5: Solve for x
    x = 515,698,681/10,352
  6. Step 6: Final answer
    x = 49,816.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.