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Finding the Third Proportional to 32,213 and 45,363

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Solution

The third proportional to 32,213 and 45,363 is: 63,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213 : 45,363 = 45,363 : x
  2. Step 2: Convert to fraction form
    32,213/45,363 = 45,363/x
  3. Step 3: Cross multiply
    32,213x = 45,363 × 45,363
  4. Step 4: Simplify right side
    32,213x = 2,057,801,769
  5. Step 5: Solve for x
    x = 2,057,801,769/32,213
  6. Step 6: Final answer
    x = 63,881.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.