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Finding the Third Proportional to 24,064 and 58,518

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Solution

The third proportional to 24,064 and 58,518 is: 142,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,064 : 58,518 = 58,518 : x
  2. Step 2: Convert to fraction form
    24,064/58,518 = 58,518/x
  3. Step 3: Cross multiply
    24,064x = 58,518 × 58,518
  4. Step 4: Simplify right side
    24,064x = 3,424,356,324
  5. Step 5: Solve for x
    x = 3,424,356,324/24,064
  6. Step 6: Final answer
    x = 142,302.04

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.