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Finding the Third Proportional to 53,465 and 74,747

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Solution

The third proportional to 53,465 and 74,747 is: 104,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,465 : 74,747 = 74,747 : x
  2. Step 2: Convert to fraction form
    53,465/74,747 = 74,747/x
  3. Step 3: Cross multiply
    53,465x = 74,747 × 74,747
  4. Step 4: Simplify right side
    53,465x = 5,587,114,009
  5. Step 5: Solve for x
    x = 5,587,114,009/53,465
  6. Step 6: Final answer
    x = 104,500.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.