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Finding the Third Proportional to 14,703 and 31,957.50

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Solution

The third proportional to 14,703 and 31,957.50 is: 69,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,703 : 31,957.50 = 31,957.50 : x
  2. Step 2: Convert to fraction form
    14,703/31,957.50 = 31,957.50/x
  3. Step 3: Cross multiply
    14,703x = 31,957.50 × 31,957.50
  4. Step 4: Simplify right side
    14,703x = 1,021,281,806.25
  5. Step 5: Solve for x
    x = 1,021,281,806.25/14,703
  6. Step 6: Final answer
    x = 69,460.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.