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Finding the Third Proportional to 49,275.84 and 77,211.35

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Solution

The third proportional to 49,275.84 and 77,211.35 is: 120,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,275.84 : 77,211.35 = 77,211.35 : x
  2. Step 2: Convert to fraction form
    49,275.84/77,211.35 = 77,211.35/x
  3. Step 3: Cross multiply
    49,275.84x = 77,211.35 × 77,211.35
  4. Step 4: Simplify right side
    49,275.84x = 5,961,592,810.11
  5. Step 5: Solve for x
    x = 5,961,592,810.11/49,275.84
  6. Step 6: Final answer
    x = 120,984.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.