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Finding the Third Proportional to 10,987.63 and 16,275.94

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Solution

The third proportional to 10,987.63 and 16,275.94 is: 24,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.63 : 16,275.94 = 16,275.94 : x
  2. Step 2: Convert to fraction form
    10,987.63/16,275.94 = 16,275.94/x
  3. Step 3: Cross multiply
    10,987.63x = 16,275.94 × 16,275.94
  4. Step 4: Simplify right side
    10,987.63x = 264,906,141.50
  5. Step 5: Solve for x
    x = 264,906,141.50/10,987.63
  6. Step 6: Final answer
    x = 24,109.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.