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Finding the Third Proportional to 11,332.13 and 24,547.13

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Solution

The third proportional to 11,332.13 and 24,547.13 is: 53,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.13 : 24,547.13 = 24,547.13 : x
  2. Step 2: Convert to fraction form
    11,332.13/24,547.13 = 24,547.13/x
  3. Step 3: Cross multiply
    11,332.13x = 24,547.13 × 24,547.13
  4. Step 4: Simplify right side
    11,332.13x = 602,561,345.77
  5. Step 5: Solve for x
    x = 602,561,345.77/11,332.13
  6. Step 6: Final answer
    x = 53,172.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.