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Finding the Third Proportional to 28,046 and 65,527

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Solution

The third proportional to 28,046 and 65,527 is: 153,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,046 : 65,527 = 65,527 : x
  2. Step 2: Convert to fraction form
    28,046/65,527 = 65,527/x
  3. Step 3: Cross multiply
    28,046x = 65,527 × 65,527
  4. Step 4: Simplify right side
    28,046x = 4,293,787,729
  5. Step 5: Solve for x
    x = 4,293,787,729/28,046
  6. Step 6: Final answer
    x = 153,098.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.