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Finding the Third Proportional to 10,152.84 and 21,459.94

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Solution

The third proportional to 10,152.84 and 21,459.94 is: 45,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.84 : 21,459.94 = 21,459.94 : x
  2. Step 2: Convert to fraction form
    10,152.84/21,459.94 = 21,459.94/x
  3. Step 3: Cross multiply
    10,152.84x = 21,459.94 × 21,459.94
  4. Step 4: Simplify right side
    10,152.84x = 460,528,917.50
  5. Step 5: Solve for x
    x = 460,528,917.50/10,152.84
  6. Step 6: Final answer
    x = 45,359.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.