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Finding the Third Proportional to 46,585.13 and 62,623.13

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Solution

The third proportional to 46,585.13 and 62,623.13 is: 84,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,585.13 : 62,623.13 = 62,623.13 : x
  2. Step 2: Convert to fraction form
    46,585.13/62,623.13 = 62,623.13/x
  3. Step 3: Cross multiply
    46,585.13x = 62,623.13 × 62,623.13
  4. Step 4: Simplify right side
    46,585.13x = 3,921,655,784.77
  5. Step 5: Solve for x
    x = 3,921,655,784.77/46,585.13
  6. Step 6: Final answer
    x = 84,182.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.