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Finding the Third Proportional to 20,962.50 and 45,813

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Solution

The third proportional to 20,962.50 and 45,813 is: 100,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962.50 : 45,813 = 45,813 : x
  2. Step 2: Convert to fraction form
    20,962.50/45,813 = 45,813/x
  3. Step 3: Cross multiply
    20,962.50x = 45,813 × 45,813
  4. Step 4: Simplify right side
    20,962.50x = 2,098,830,969
  5. Step 5: Solve for x
    x = 2,098,830,969/20,962.50
  6. Step 6: Final answer
    x = 100,123.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.