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Finding the Third Proportional to 16,410 and 35,407.50

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Solution

The third proportional to 16,410 and 35,407.50 is: 76,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410 : 35,407.50 = 35,407.50 : x
  2. Step 2: Convert to fraction form
    16,410/35,407.50 = 35,407.50/x
  3. Step 3: Cross multiply
    16,410x = 35,407.50 × 35,407.50
  4. Step 4: Simplify right side
    16,410x = 1,253,691,056.25
  5. Step 5: Solve for x
    x = 1,253,691,056.25/16,410
  6. Step 6: Final answer
    x = 76,397.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.