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Finding the Third Proportional to 21,836 and 46,528

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Solution

The third proportional to 21,836 and 46,528 is: 99,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836 : 46,528 = 46,528 : x
  2. Step 2: Convert to fraction form
    21,836/46,528 = 46,528/x
  3. Step 3: Cross multiply
    21,836x = 46,528 × 46,528
  4. Step 4: Simplify right side
    21,836x = 2,164,854,784
  5. Step 5: Solve for x
    x = 2,164,854,784/21,836
  6. Step 6: Final answer
    x = 99,141.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.