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Finding the Third Proportional to 48,036.38 and 76,347.14

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Solution

The third proportional to 48,036.38 and 76,347.14 is: 121,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,036.38 : 76,347.14 = 76,347.14 : x
  2. Step 2: Convert to fraction form
    48,036.38/76,347.14 = 76,347.14/x
  3. Step 3: Cross multiply
    48,036.38x = 76,347.14 × 76,347.14
  4. Step 4: Simplify right side
    48,036.38x = 5,828,885,881.61
  5. Step 5: Solve for x
    x = 5,828,885,881.61/48,036.38
  6. Step 6: Final answer
    x = 121,343.17

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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.