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Finding the Third Proportional to 28,707.50 and 42,210.75

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Solution

The third proportional to 28,707.50 and 42,210.75 is: 62,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,707.50 : 42,210.75 = 42,210.75 : x
  2. Step 2: Convert to fraction form
    28,707.50/42,210.75 = 42,210.75/x
  3. Step 3: Cross multiply
    28,707.50x = 42,210.75 × 42,210.75
  4. Step 4: Simplify right side
    28,707.50x = 1,781,747,415.56
  5. Step 5: Solve for x
    x = 1,781,747,415.56/28,707.50
  6. Step 6: Final answer
    x = 62,065.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.