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Finding the Third Proportional to 46,585.13 and 74,023.88

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Solution

The third proportional to 46,585.13 and 74,023.88 is: 117,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,585.13 : 74,023.88 = 74,023.88 : x
  2. Step 2: Convert to fraction form
    46,585.13/74,023.88 = 74,023.88/x
  3. Step 3: Cross multiply
    46,585.13x = 74,023.88 × 74,023.88
  4. Step 4: Simplify right side
    46,585.13x = 5,479,534,070.02
  5. Step 5: Solve for x
    x = 5,479,534,070.02/46,585.13
  6. Step 6: Final answer
    x = 117,624.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.