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Finding the Third Proportional to 14,528 and 15,968

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Solution

The third proportional to 14,528 and 15,968 is: 17,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528 : 15,968 = 15,968 : x
  2. Step 2: Convert to fraction form
    14,528/15,968 = 15,968/x
  3. Step 3: Cross multiply
    14,528x = 15,968 × 15,968
  4. Step 4: Simplify right side
    14,528x = 254,977,024
  5. Step 5: Solve for x
    x = 254,977,024/14,528
  6. Step 6: Final answer
    x = 17,550.73

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.