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Finding the Third Proportional to 35,880.47 and 77,501.81

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Solution

The third proportional to 35,880.47 and 77,501.81 is: 167,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.47 : 77,501.81 = 77,501.81 : x
  2. Step 2: Convert to fraction form
    35,880.47/77,501.81 = 77,501.81/x
  3. Step 3: Cross multiply
    35,880.47x = 77,501.81 × 77,501.81
  4. Step 4: Simplify right side
    35,880.47x = 6,006,530,940.79
  5. Step 5: Solve for x
    x = 6,006,530,940.79/35,880.47
  6. Step 6: Final answer
    x = 167,403.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.