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Finding the Third Proportional to 16,386 and 24,811.50

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Solution

The third proportional to 16,386 and 24,811.50 is: 37,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386 : 24,811.50 = 24,811.50 : x
  2. Step 2: Convert to fraction form
    16,386/24,811.50 = 24,811.50/x
  3. Step 3: Cross multiply
    16,386x = 24,811.50 × 24,811.50
  4. Step 4: Simplify right side
    16,386x = 615,610,532.25
  5. Step 5: Solve for x
    x = 615,610,532.25/16,386
  6. Step 6: Final answer
    x = 37,569.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.