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Finding the Third Proportional to 29,547.28 and 45,004.36

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Solution

The third proportional to 29,547.28 and 45,004.36 is: 68,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.28 : 45,004.36 = 45,004.36 : x
  2. Step 2: Convert to fraction form
    29,547.28/45,004.36 = 45,004.36/x
  3. Step 3: Cross multiply
    29,547.28x = 45,004.36 × 45,004.36
  4. Step 4: Simplify right side
    29,547.28x = 2,025,392,362.75
  5. Step 5: Solve for x
    x = 2,025,392,362.75/29,547.28
  6. Step 6: Final answer
    x = 68,547.50

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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.