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Finding the Third Proportional to 52,551.75 and 75,547.13

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Solution

The third proportional to 52,551.75 and 75,547.13 is: 108,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,551.75 : 75,547.13 = 75,547.13 : x
  2. Step 2: Convert to fraction form
    52,551.75/75,547.13 = 75,547.13/x
  3. Step 3: Cross multiply
    52,551.75x = 75,547.13 × 75,547.13
  4. Step 4: Simplify right side
    52,551.75x = 5,707,368,095.77
  5. Step 5: Solve for x
    x = 5,707,368,095.77/52,551.75
  6. Step 6: Final answer
    x = 108,604.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.