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Finding the Third Proportional to 16,457.63 and 23,518.13

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Solution

The third proportional to 16,457.63 and 23,518.13 is: 33,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.63 : 23,518.13 = 23,518.13 : x
  2. Step 2: Convert to fraction form
    16,457.63/23,518.13 = 23,518.13/x
  3. Step 3: Cross multiply
    16,457.63x = 23,518.13 × 23,518.13
  4. Step 4: Simplify right side
    16,457.63x = 553,102,203.52
  5. Step 5: Solve for x
    x = 553,102,203.52/16,457.63
  6. Step 6: Final answer
    x = 33,607.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.