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Finding the Third Proportional to 28,570 and 44,411.50

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Solution

The third proportional to 28,570 and 44,411.50 is: 69,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,570 : 44,411.50 = 44,411.50 : x
  2. Step 2: Convert to fraction form
    28,570/44,411.50 = 44,411.50/x
  3. Step 3: Cross multiply
    28,570x = 44,411.50 × 44,411.50
  4. Step 4: Simplify right side
    28,570x = 1,972,381,332.25
  5. Step 5: Solve for x
    x = 1,972,381,332.25/28,570
  6. Step 6: Final answer
    x = 69,036.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.