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Finding the Third Proportional to 14,947 and 23,445

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Solution

The third proportional to 14,947 and 23,445 is: 36,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947 : 23,445 = 23,445 : x
  2. Step 2: Convert to fraction form
    14,947/23,445 = 23,445/x
  3. Step 3: Cross multiply
    14,947x = 23,445 × 23,445
  4. Step 4: Simplify right side
    14,947x = 549,668,025
  5. Step 5: Solve for x
    x = 549,668,025/14,947
  6. Step 6: Final answer
    x = 36,774.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.