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Finding the Third Proportional to 16,070.63 and 23,477.63

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Solution

The third proportional to 16,070.63 and 23,477.63 is: 34,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.63 : 23,477.63 = 23,477.63 : x
  2. Step 2: Convert to fraction form
    16,070.63/23,477.63 = 23,477.63/x
  3. Step 3: Cross multiply
    16,070.63x = 23,477.63 × 23,477.63
  4. Step 4: Simplify right side
    16,070.63x = 551,198,875.64
  5. Step 5: Solve for x
    x = 551,198,875.64/16,070.63
  6. Step 6: Final answer
    x = 34,298.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.