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Finding the Third Proportional to 34,056 and 56,280

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Solution

The third proportional to 34,056 and 56,280 is: 93,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056 : 56,280 = 56,280 : x
  2. Step 2: Convert to fraction form
    34,056/56,280 = 56,280/x
  3. Step 3: Cross multiply
    34,056x = 56,280 × 56,280
  4. Step 4: Simplify right side
    34,056x = 3,167,438,400
  5. Step 5: Solve for x
    x = 3,167,438,400/34,056
  6. Step 6: Final answer
    x = 93,006.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.