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Finding the Third Proportional to 17,716 and 24,070.50

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Solution

The third proportional to 17,716 and 24,070.50 is: 32,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716 : 24,070.50 = 24,070.50 : x
  2. Step 2: Convert to fraction form
    17,716/24,070.50 = 24,070.50/x
  3. Step 3: Cross multiply
    17,716x = 24,070.50 × 24,070.50
  4. Step 4: Simplify right side
    17,716x = 579,388,970.25
  5. Step 5: Solve for x
    x = 579,388,970.25/17,716
  6. Step 6: Final answer
    x = 32,704.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.