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Finding the Third Proportional to 46,414.69 and 67,637.53

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Solution

The third proportional to 46,414.69 and 67,637.53 is: 98,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,414.69 : 67,637.53 = 67,637.53 : x
  2. Step 2: Convert to fraction form
    46,414.69/67,637.53 = 67,637.53/x
  3. Step 3: Cross multiply
    46,414.69x = 67,637.53 × 67,637.53
  4. Step 4: Simplify right side
    46,414.69x = 4,574,835,633.59
  5. Step 5: Solve for x
    x = 4,574,835,633.59/46,414.69
  6. Step 6: Final answer
    x = 98,564.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.