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Finding the Third Proportional to 40,643 and 58,007.50

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Solution

The third proportional to 40,643 and 58,007.50 is: 82,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,643 : 58,007.50 = 58,007.50 : x
  2. Step 2: Convert to fraction form
    40,643/58,007.50 = 58,007.50/x
  3. Step 3: Cross multiply
    40,643x = 58,007.50 × 58,007.50
  4. Step 4: Simplify right side
    40,643x = 3,364,870,056.25
  5. Step 5: Solve for x
    x = 3,364,870,056.25/40,643
  6. Step 6: Final answer
    x = 82,790.89

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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.