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Finding the Third Proportional to 11,607 and 16,924.50

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Solution

The third proportional to 11,607 and 16,924.50 is: 24,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607 : 16,924.50 = 16,924.50 : x
  2. Step 2: Convert to fraction form
    11,607/16,924.50 = 16,924.50/x
  3. Step 3: Cross multiply
    11,607x = 16,924.50 × 16,924.50
  4. Step 4: Simplify right side
    11,607x = 286,438,700.25
  5. Step 5: Solve for x
    x = 286,438,700.25/11,607
  6. Step 6: Final answer
    x = 24,678.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.