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Finding the Third Proportional to 20,714 and 32,547

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Solution

The third proportional to 20,714 and 32,547 is: 51,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714 : 32,547 = 32,547 : x
  2. Step 2: Convert to fraction form
    20,714/32,547 = 32,547/x
  3. Step 3: Cross multiply
    20,714x = 32,547 × 32,547
  4. Step 4: Simplify right side
    20,714x = 1,059,307,209
  5. Step 5: Solve for x
    x = 1,059,307,209/20,714
  6. Step 6: Final answer
    x = 51,139.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.