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Finding the Third Proportional to 53,810.06 and 83,790.56

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Solution

The third proportional to 53,810.06 and 83,790.56 is: 130,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,810.06 : 83,790.56 = 83,790.56 : x
  2. Step 2: Convert to fraction form
    53,810.06/83,790.56 = 83,790.56/x
  3. Step 3: Cross multiply
    53,810.06x = 83,790.56 × 83,790.56
  4. Step 4: Simplify right side
    53,810.06x = 7,020,858,364.07
  5. Step 5: Solve for x
    x = 7,020,858,364.07/53,810.06
  6. Step 6: Final answer
    x = 130,474.82

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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.