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Finding the Third Proportional to 14,458.50 and 29,899.13

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Solution

The third proportional to 14,458.50 and 29,899.13 is: 61,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.50 : 29,899.13 = 29,899.13 : x
  2. Step 2: Convert to fraction form
    14,458.50/29,899.13 = 29,899.13/x
  3. Step 3: Cross multiply
    14,458.50x = 29,899.13 × 29,899.13
  4. Step 4: Simplify right side
    14,458.50x = 893,957,675.77
  5. Step 5: Solve for x
    x = 893,957,675.77/14,458.50
  6. Step 6: Final answer
    x = 61,829.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.