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Finding the Third Proportional to 32,417.72 and 49,292.93

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Solution

The third proportional to 32,417.72 and 49,292.93 is: 74,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.72 : 49,292.93 = 49,292.93 : x
  2. Step 2: Convert to fraction form
    32,417.72/49,292.93 = 49,292.93/x
  3. Step 3: Cross multiply
    32,417.72x = 49,292.93 × 49,292.93
  4. Step 4: Simplify right side
    32,417.72x = 2,429,792,917.18
  5. Step 5: Solve for x
    x = 2,429,792,917.18/32,417.72
  6. Step 6: Final answer
    x = 74,952.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.