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Finding the Third Proportional to 35,229 and 51,547

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Solution

The third proportional to 35,229 and 51,547 is: 75,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,229 : 51,547 = 51,547 : x
  2. Step 2: Convert to fraction form
    35,229/51,547 = 51,547/x
  3. Step 3: Cross multiply
    35,229x = 51,547 × 51,547
  4. Step 4: Simplify right side
    35,229x = 2,657,093,209
  5. Step 5: Solve for x
    x = 2,657,093,209/35,229
  6. Step 6: Final answer
    x = 75,423.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.