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Finding the Third Proportional to 50,547.38 and 77,895

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Solution

The third proportional to 50,547.38 and 77,895 is: 120,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.38 : 77,895 = 77,895 : x
  2. Step 2: Convert to fraction form
    50,547.38/77,895 = 77,895/x
  3. Step 3: Cross multiply
    50,547.38x = 77,895 × 77,895
  4. Step 4: Simplify right side
    50,547.38x = 6,067,631,025
  5. Step 5: Solve for x
    x = 6,067,631,025/50,547.38
  6. Step 6: Final answer
    x = 120,038.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.