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Finding the Third Proportional to 30,407.91 and 46,154.81

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Solution

The third proportional to 30,407.91 and 46,154.81 is: 70,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.91 : 46,154.81 = 46,154.81 : x
  2. Step 2: Convert to fraction form
    30,407.91/46,154.81 = 46,154.81/x
  3. Step 3: Cross multiply
    30,407.91x = 46,154.81 × 46,154.81
  4. Step 4: Simplify right side
    30,407.91x = 2,130,266,716.91
  5. Step 5: Solve for x
    x = 2,130,266,716.91/30,407.91
  6. Step 6: Final answer
    x = 70,056.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.