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Finding the Third Proportional to 14,506.50 and 29,935.50

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Solution

The third proportional to 14,506.50 and 29,935.50 is: 61,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.50 : 29,935.50 = 29,935.50 : x
  2. Step 2: Convert to fraction form
    14,506.50/29,935.50 = 29,935.50/x
  3. Step 3: Cross multiply
    14,506.50x = 29,935.50 × 29,935.50
  4. Step 4: Simplify right side
    14,506.50x = 896,134,160.25
  5. Step 5: Solve for x
    x = 896,134,160.25/14,506.50
  6. Step 6: Final answer
    x = 61,774.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.