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Finding the Third Proportional to 35,275.50 and 53,277.75

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Solution

The third proportional to 35,275.50 and 53,277.75 is: 80,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,275.50 : 53,277.75 = 53,277.75 : x
  2. Step 2: Convert to fraction form
    35,275.50/53,277.75 = 53,277.75/x
  3. Step 3: Cross multiply
    35,275.50x = 53,277.75 × 53,277.75
  4. Step 4: Simplify right side
    35,275.50x = 2,838,518,645.06
  5. Step 5: Solve for x
    x = 2,838,518,645.06/35,275.50
  6. Step 6: Final answer
    x = 80,467.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.