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Finding the Third Proportional to 34,038.56 and 53,195.06

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Solution

The third proportional to 34,038.56 and 53,195.06 is: 83,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038.56 : 53,195.06 = 53,195.06 : x
  2. Step 2: Convert to fraction form
    34,038.56/53,195.06 = 53,195.06/x
  3. Step 3: Cross multiply
    34,038.56x = 53,195.06 × 53,195.06
  4. Step 4: Simplify right side
    34,038.56x = 2,829,714,674.38
  5. Step 5: Solve for x
    x = 2,829,714,674.38/34,038.56
  6. Step 6: Final answer
    x = 83,132.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.