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Finding the Third Proportional to 43,820.63 and 71,547.19

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Solution

The third proportional to 43,820.63 and 71,547.19 is: 116,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,820.63 : 71,547.19 = 71,547.19 : x
  2. Step 2: Convert to fraction form
    43,820.63/71,547.19 = 71,547.19/x
  3. Step 3: Cross multiply
    43,820.63x = 71,547.19 × 71,547.19
  4. Step 4: Simplify right side
    43,820.63x = 5,119,000,039.16
  5. Step 5: Solve for x
    x = 5,119,000,039.16/43,820.63
  6. Step 6: Final answer
    x = 116,817.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.