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Finding the Third Proportional to 14,688 and 23,405.63

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Solution

The third proportional to 14,688 and 23,405.63 is: 37,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688 : 23,405.63 = 23,405.63 : x
  2. Step 2: Convert to fraction form
    14,688/23,405.63 = 23,405.63/x
  3. Step 3: Cross multiply
    14,688x = 23,405.63 × 23,405.63
  4. Step 4: Simplify right side
    14,688x = 547,823,281.64
  5. Step 5: Solve for x
    x = 547,823,281.64/14,688
  6. Step 6: Final answer
    x = 37,297.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.