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Finding the Third Proportional to 14,171.63 and 30,547.13

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Solution

The third proportional to 14,171.63 and 30,547.13 is: 65,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.63 : 30,547.13 = 30,547.13 : x
  2. Step 2: Convert to fraction form
    14,171.63/30,547.13 = 30,547.13/x
  3. Step 3: Cross multiply
    14,171.63x = 30,547.13 × 30,547.13
  4. Step 4: Simplify right side
    14,171.63x = 933,126,845.77
  5. Step 5: Solve for x
    x = 933,126,845.77/14,171.63
  6. Step 6: Final answer
    x = 65,844.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.