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Finding the Third Proportional to 43,490 and 65,332

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Solution

The third proportional to 43,490 and 65,332 is: 98,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,490 : 65,332 = 65,332 : x
  2. Step 2: Convert to fraction form
    43,490/65,332 = 65,332/x
  3. Step 3: Cross multiply
    43,490x = 65,332 × 65,332
  4. Step 4: Simplify right side
    43,490x = 4,268,270,224
  5. Step 5: Solve for x
    x = 4,268,270,224/43,490
  6. Step 6: Final answer
    x = 98,143.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.