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Finding the Third Proportional to 34,253.25 and 53,746.13

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Solution

The third proportional to 34,253.25 and 53,746.13 is: 84,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253.25 : 53,746.13 = 53,746.13 : x
  2. Step 2: Convert to fraction form
    34,253.25/53,746.13 = 53,746.13/x
  3. Step 3: Cross multiply
    34,253.25x = 53,746.13 × 53,746.13
  4. Step 4: Simplify right side
    34,253.25x = 2,888,645,952.52
  5. Step 5: Solve for x
    x = 2,888,645,952.52/34,253.25
  6. Step 6: Final answer
    x = 84,332.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.