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Finding the Third Proportional to 20,030.63 and 32,556

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Solution

The third proportional to 20,030.63 and 32,556 is: 52,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.63 : 32,556 = 32,556 : x
  2. Step 2: Convert to fraction form
    20,030.63/32,556 = 32,556/x
  3. Step 3: Cross multiply
    20,030.63x = 32,556 × 32,556
  4. Step 4: Simplify right side
    20,030.63x = 1,059,893,136
  5. Step 5: Solve for x
    x = 1,059,893,136/20,030.63
  6. Step 6: Final answer
    x = 52,913.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.