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Finding the Third Proportional to 31,428 and 43,248

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Solution

The third proportional to 31,428 and 43,248 is: 59,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428 : 43,248 = 43,248 : x
  2. Step 2: Convert to fraction form
    31,428/43,248 = 43,248/x
  3. Step 3: Cross multiply
    31,428x = 43,248 × 43,248
  4. Step 4: Simplify right side
    31,428x = 1,870,389,504
  5. Step 5: Solve for x
    x = 1,870,389,504/31,428
  6. Step 6: Final answer
    x = 59,513.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.