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Finding the Third Proportional to 3,445.51 and 7,547.71

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Solution

The third proportional to 3,445.51 and 7,547.71 is: 16,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.51 : 7,547.71 = 7,547.71 : x
  2. Step 2: Convert to fraction form
    3,445.51/7,547.71 = 7,547.71/x
  3. Step 3: Cross multiply
    3,445.51x = 7,547.71 × 7,547.71
  4. Step 4: Simplify right side
    3,445.51x = 56,967,969.88
  5. Step 5: Solve for x
    x = 56,967,969.88/3,445.51
  6. Step 6: Final answer
    x = 16,533.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.