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Finding the Third Proportional to 35,656 and 56,508

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Solution

The third proportional to 35,656 and 56,508 is: 89,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,656 : 56,508 = 56,508 : x
  2. Step 2: Convert to fraction form
    35,656/56,508 = 56,508/x
  3. Step 3: Cross multiply
    35,656x = 56,508 × 56,508
  4. Step 4: Simplify right side
    35,656x = 3,193,154,064
  5. Step 5: Solve for x
    x = 3,193,154,064/35,656
  6. Step 6: Final answer
    x = 89,554.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.