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Finding the Third Proportional to 1,547.86 and 2,398.04

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Solution

The third proportional to 1,547.86 and 2,398.04 is: 3,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.86 : 2,398.04 = 2,398.04 : x
  2. Step 2: Convert to fraction form
    1,547.86/2,398.04 = 2,398.04/x
  3. Step 3: Cross multiply
    1,547.86x = 2,398.04 × 2,398.04
  4. Step 4: Simplify right side
    1,547.86x = 5,750,610.08
  5. Step 5: Solve for x
    x = 5,750,610.08/1,547.86
  6. Step 6: Final answer
    x = 3,715.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.