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Finding the Third Proportional to 34,547.77 and 54,999.63

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Solution

The third proportional to 34,547.77 and 54,999.63 is: 87,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,547.77 : 54,999.63 = 54,999.63 : x
  2. Step 2: Convert to fraction form
    34,547.77/54,999.63 = 54,999.63/x
  3. Step 3: Cross multiply
    34,547.77x = 54,999.63 × 54,999.63
  4. Step 4: Simplify right side
    34,547.77x = 3,024,959,609.51
  5. Step 5: Solve for x
    x = 3,024,959,609.51/34,547.77
  6. Step 6: Final answer
    x = 87,558.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.