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Finding the Third Proportional to 35,880.47 and 53,410.64

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Solution

The third proportional to 35,880.47 and 53,410.64 is: 79,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.47 : 53,410.64 = 53,410.64 : x
  2. Step 2: Convert to fraction form
    35,880.47/53,410.64 = 53,410.64/x
  3. Step 3: Cross multiply
    35,880.47x = 53,410.64 × 53,410.64
  4. Step 4: Simplify right side
    35,880.47x = 2,852,696,531.97
  5. Step 5: Solve for x
    x = 2,852,696,531.97/35,880.47
  6. Step 6: Final answer
    x = 79,505.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.