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Finding the Third Proportional to 9,730.13 and 21,316.92

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Solution

The third proportional to 9,730.13 and 21,316.92 is: 46,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.13 : 21,316.92 = 21,316.92 : x
  2. Step 2: Convert to fraction form
    9,730.13/21,316.92 = 21,316.92/x
  3. Step 3: Cross multiply
    9,730.13x = 21,316.92 × 21,316.92
  4. Step 4: Simplify right side
    9,730.13x = 454,411,158.22
  5. Step 5: Solve for x
    x = 454,411,158.22/9,730.13
  6. Step 6: Final answer
    x = 46,701.47

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1.5x scale

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.