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Finding the Third Proportional to 23,312 and 34,960

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Solution

The third proportional to 23,312 and 34,960 is: 52,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312 : 34,960 = 34,960 : x
  2. Step 2: Convert to fraction form
    23,312/34,960 = 34,960/x
  3. Step 3: Cross multiply
    23,312x = 34,960 × 34,960
  4. Step 4: Simplify right side
    23,312x = 1,222,201,600
  5. Step 5: Solve for x
    x = 1,222,201,600/23,312
  6. Step 6: Final answer
    x = 52,428.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.