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Finding the Third Proportional to 40,152 and 53,658

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Solution

The third proportional to 40,152 and 53,658 is: 71,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,152 : 53,658 = 53,658 : x
  2. Step 2: Convert to fraction form
    40,152/53,658 = 53,658/x
  3. Step 3: Cross multiply
    40,152x = 53,658 × 53,658
  4. Step 4: Simplify right side
    40,152x = 2,879,180,964
  5. Step 5: Solve for x
    x = 2,879,180,964/40,152
  6. Step 6: Final answer
    x = 71,707.04

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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.