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Finding the Third Proportional to 46,177.59 and 62,397.84

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Solution

The third proportional to 46,177.59 and 62,397.84 is: 84,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,177.59 : 62,397.84 = 62,397.84 : x
  2. Step 2: Convert to fraction form
    46,177.59/62,397.84 = 62,397.84/x
  3. Step 3: Cross multiply
    46,177.59x = 62,397.84 × 62,397.84
  4. Step 4: Simplify right side
    46,177.59x = 3,893,490,904.65
  5. Step 5: Solve for x
    x = 3,893,490,904.65/46,177.59
  6. Step 6: Final answer
    x = 84,315.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.