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Finding the Third Proportional to 14,343.64 and 23,703.89

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Solution

The third proportional to 14,343.64 and 23,703.89 is: 39,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.64 : 23,703.89 = 23,703.89 : x
  2. Step 2: Convert to fraction form
    14,343.64/23,703.89 = 23,703.89/x
  3. Step 3: Cross multiply
    14,343.64x = 23,703.89 × 23,703.89
  4. Step 4: Simplify right side
    14,343.64x = 561,874,430.76
  5. Step 5: Solve for x
    x = 561,874,430.76/14,343.64
  6. Step 6: Final answer
    x = 39,172.36

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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.