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Finding the Third Proportional to 53,629.50 and 78,895.13

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Solution

The third proportional to 53,629.50 and 78,895.13 is: 116,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,629.50 : 78,895.13 = 78,895.13 : x
  2. Step 2: Convert to fraction form
    53,629.50/78,895.13 = 78,895.13/x
  3. Step 3: Cross multiply
    53,629.50x = 78,895.13 × 78,895.13
  4. Step 4: Simplify right side
    53,629.50x = 6,224,440,748.77
  5. Step 5: Solve for x
    x = 6,224,440,748.77/53,629.50
  6. Step 6: Final answer
    x = 116,063.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.