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Finding the Third Proportional to 20,495 and 31,547

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Solution

The third proportional to 20,495 and 31,547 is: 48,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495 : 31,547 = 31,547 : x
  2. Step 2: Convert to fraction form
    20,495/31,547 = 31,547/x
  3. Step 3: Cross multiply
    20,495x = 31,547 × 31,547
  4. Step 4: Simplify right side
    20,495x = 995,213,209
  5. Step 5: Solve for x
    x = 995,213,209/20,495
  6. Step 6: Final answer
    x = 48,558.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.