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Finding the Third Proportional to 28,574 and 42,833.50

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Solution

The third proportional to 28,574 and 42,833.50 is: 64,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,574 : 42,833.50 = 42,833.50 : x
  2. Step 2: Convert to fraction form
    28,574/42,833.50 = 42,833.50/x
  3. Step 3: Cross multiply
    28,574x = 42,833.50 × 42,833.50
  4. Step 4: Simplify right side
    28,574x = 1,834,708,722.25
  5. Step 5: Solve for x
    x = 1,834,708,722.25/28,574
  6. Step 6: Final answer
    x = 64,209.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.