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Finding the Third Proportional to 21,435 and 45,946.50

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Solution

The third proportional to 21,435 and 45,946.50 is: 98,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,435 : 45,946.50 = 45,946.50 : x
  2. Step 2: Convert to fraction form
    21,435/45,946.50 = 45,946.50/x
  3. Step 3: Cross multiply
    21,435x = 45,946.50 × 45,946.50
  4. Step 4: Simplify right side
    21,435x = 2,111,080,862.25
  5. Step 5: Solve for x
    x = 2,111,080,862.25/21,435
  6. Step 6: Final answer
    x = 98,487.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.