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Finding the Third Proportional to 28,378.50 and 42,783.75

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Solution

The third proportional to 28,378.50 and 42,783.75 is: 64,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,378.50 : 42,783.75 = 42,783.75 : x
  2. Step 2: Convert to fraction form
    28,378.50/42,783.75 = 42,783.75/x
  3. Step 3: Cross multiply
    28,378.50x = 42,783.75 × 42,783.75
  4. Step 4: Simplify right side
    28,378.50x = 1,830,449,264.06
  5. Step 5: Solve for x
    x = 1,830,449,264.06/28,378.50
  6. Step 6: Final answer
    x = 64,501.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.