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Finding the Third Proportional to 30,525.50 and 63,389.50

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Solution

The third proportional to 30,525.50 and 63,389.50 is: 131,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525.50 : 63,389.50 = 63,389.50 : x
  2. Step 2: Convert to fraction form
    30,525.50/63,389.50 = 63,389.50/x
  3. Step 3: Cross multiply
    30,525.50x = 63,389.50 × 63,389.50
  4. Step 4: Simplify right side
    30,525.50x = 4,018,228,710.25
  5. Step 5: Solve for x
    x = 4,018,228,710.25/30,525.50
  6. Step 6: Final answer
    x = 131,635.15

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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.