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Finding the Third Proportional to 30,386.25 and 63,193.50

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Solution

The third proportional to 30,386.25 and 63,193.50 is: 131,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.25 : 63,193.50 = 63,193.50 : x
  2. Step 2: Convert to fraction form
    30,386.25/63,193.50 = 63,193.50/x
  3. Step 3: Cross multiply
    30,386.25x = 63,193.50 × 63,193.50
  4. Step 4: Simplify right side
    30,386.25x = 3,993,418,442.25
  5. Step 5: Solve for x
    x = 3,993,418,442.25/30,386.25
  6. Step 6: Final answer
    x = 131,421.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.