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Finding the Third Proportional to 24,735 and 51,220.50

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Solution

The third proportional to 24,735 and 51,220.50 is: 106,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735 : 51,220.50 = 51,220.50 : x
  2. Step 2: Convert to fraction form
    24,735/51,220.50 = 51,220.50/x
  3. Step 3: Cross multiply
    24,735x = 51,220.50 × 51,220.50
  4. Step 4: Simplify right side
    24,735x = 2,623,539,620.25
  5. Step 5: Solve for x
    x = 2,623,539,620.25/24,735
  6. Step 6: Final answer
    x = 106,065.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.