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Finding the Third Proportional to 20,547 and 28,633.50

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Solution

The third proportional to 20,547 and 28,633.50 is: 39,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547 : 28,633.50 = 28,633.50 : x
  2. Step 2: Convert to fraction form
    20,547/28,633.50 = 28,633.50/x
  3. Step 3: Cross multiply
    20,547x = 28,633.50 × 28,633.50
  4. Step 4: Simplify right side
    20,547x = 819,877,322.25
  5. Step 5: Solve for x
    x = 819,877,322.25/20,547
  6. Step 6: Final answer
    x = 39,902.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.