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Finding the Third Proportional to 53,829 and 77,052.94

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Solution

The third proportional to 53,829 and 77,052.94 is: 110,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,829 : 77,052.94 = 77,052.94 : x
  2. Step 2: Convert to fraction form
    53,829/77,052.94 = 77,052.94/x
  3. Step 3: Cross multiply
    53,829x = 77,052.94 × 77,052.94
  4. Step 4: Simplify right side
    53,829x = 5,937,155,177.38
  5. Step 5: Solve for x
    x = 5,937,155,177.38/53,829
  6. Step 6: Final answer
    x = 110,296.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.