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Finding the Third Proportional to 10,585 and 22,358

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Solution

The third proportional to 10,585 and 22,358 is: 47,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585 : 22,358 = 22,358 : x
  2. Step 2: Convert to fraction form
    10,585/22,358 = 22,358/x
  3. Step 3: Cross multiply
    10,585x = 22,358 × 22,358
  4. Step 4: Simplify right side
    10,585x = 499,880,164
  5. Step 5: Solve for x
    x = 499,880,164/10,585
  6. Step 6: Final answer
    x = 47,225.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.