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Finding the Third Proportional to 30,709.13 and 48,888.56

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Solution

The third proportional to 30,709.13 and 48,888.56 is: 77,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 48,888.56 = 48,888.56 : x
  2. Step 2: Convert to fraction form
    30,709.13/48,888.56 = 48,888.56/x
  3. Step 3: Cross multiply
    30,709.13x = 48,888.56 × 48,888.56
  4. Step 4: Simplify right side
    30,709.13x = 2,390,091,543.32
  5. Step 5: Solve for x
    x = 2,390,091,543.32/30,709.13
  6. Step 6: Final answer
    x = 77,830.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.