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Finding the Third Proportional to 14,070 and 29,773.50

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Solution

The third proportional to 14,070 and 29,773.50 is: 63,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070 : 29,773.50 = 29,773.50 : x
  2. Step 2: Convert to fraction form
    14,070/29,773.50 = 29,773.50/x
  3. Step 3: Cross multiply
    14,070x = 29,773.50 × 29,773.50
  4. Step 4: Simplify right side
    14,070x = 886,461,302.25
  5. Step 5: Solve for x
    x = 886,461,302.25/14,070
  6. Step 6: Final answer
    x = 63,003.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.