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Finding the Third Proportional to 21,613 and 47,012.50

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Solution

The third proportional to 21,613 and 47,012.50 is: 102,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613 : 47,012.50 = 47,012.50 : x
  2. Step 2: Convert to fraction form
    21,613/47,012.50 = 47,012.50/x
  3. Step 3: Cross multiply
    21,613x = 47,012.50 × 47,012.50
  4. Step 4: Simplify right side
    21,613x = 2,210,175,156.25
  5. Step 5: Solve for x
    x = 2,210,175,156.25/21,613
  6. Step 6: Final answer
    x = 102,261.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.