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Finding the Third Proportional to 20,428 and 32,586

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Solution

The third proportional to 20,428 and 32,586 is: 51,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428 : 32,586 = 32,586 : x
  2. Step 2: Convert to fraction form
    20,428/32,586 = 32,586/x
  3. Step 3: Cross multiply
    20,428x = 32,586 × 32,586
  4. Step 4: Simplify right side
    20,428x = 1,061,847,396
  5. Step 5: Solve for x
    x = 1,061,847,396/20,428
  6. Step 6: Final answer
    x = 51,980.00

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.