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Finding the Third Proportional to 46,291.50 and 52,042.50

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Solution

The third proportional to 46,291.50 and 52,042.50 is: 58,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,291.50 : 52,042.50 = 52,042.50 : x
  2. Step 2: Convert to fraction form
    46,291.50/52,042.50 = 52,042.50/x
  3. Step 3: Cross multiply
    46,291.50x = 52,042.50 × 52,042.50
  4. Step 4: Simplify right side
    46,291.50x = 2,708,421,806.25
  5. Step 5: Solve for x
    x = 2,708,421,806.25/46,291.50
  6. Step 6: Final answer
    x = 58,507.97

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.