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Finding the Third Proportional to 43,209 and 64,854

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Solution

The third proportional to 43,209 and 64,854 is: 97,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,209 : 64,854 = 64,854 : x
  2. Step 2: Convert to fraction form
    43,209/64,854 = 64,854/x
  3. Step 3: Cross multiply
    43,209x = 64,854 × 64,854
  4. Step 4: Simplify right side
    43,209x = 4,206,041,316
  5. Step 5: Solve for x
    x = 4,206,041,316/43,209
  6. Step 6: Final answer
    x = 97,341.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.