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Finding the Third Proportional to 38,730 and 59,209.50

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Solution

The third proportional to 38,730 and 59,209.50 is: 90,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,730 : 59,209.50 = 59,209.50 : x
  2. Step 2: Convert to fraction form
    38,730/59,209.50 = 59,209.50/x
  3. Step 3: Cross multiply
    38,730x = 59,209.50 × 59,209.50
  4. Step 4: Simplify right side
    38,730x = 3,505,764,890.25
  5. Step 5: Solve for x
    x = 3,505,764,890.25/38,730
  6. Step 6: Final answer
    x = 90,518.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.