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Finding the Third Proportional to 50,547.38 and 77,430.94

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Solution

The third proportional to 50,547.38 and 77,430.94 is: 118,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.38 : 77,430.94 = 77,430.94 : x
  2. Step 2: Convert to fraction form
    50,547.38/77,430.94 = 77,430.94/x
  3. Step 3: Cross multiply
    50,547.38x = 77,430.94 × 77,430.94
  4. Step 4: Simplify right side
    50,547.38x = 5,995,550,082.13
  5. Step 5: Solve for x
    x = 5,995,550,082.13/50,547.38
  6. Step 6: Final answer
    x = 118,612.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.