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Finding the Third Proportional to 14,415 and 31,562.50

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Solution

The third proportional to 14,415 and 31,562.50 is: 69,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415 : 31,562.50 = 31,562.50 : x
  2. Step 2: Convert to fraction form
    14,415/31,562.50 = 31,562.50/x
  3. Step 3: Cross multiply
    14,415x = 31,562.50 × 31,562.50
  4. Step 4: Simplify right side
    14,415x = 996,191,406.25
  5. Step 5: Solve for x
    x = 996,191,406.25/14,415
  6. Step 6: Final answer
    x = 69,107.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.