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Finding the Third Proportional to 14,528.16 and 31,271.72

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Solution

The third proportional to 14,528.16 and 31,271.72 is: 67,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528.16 : 31,271.72 = 31,271.72 : x
  2. Step 2: Convert to fraction form
    14,528.16/31,271.72 = 31,271.72/x
  3. Step 3: Cross multiply
    14,528.16x = 31,271.72 × 31,271.72
  4. Step 4: Simplify right side
    14,528.16x = 977,920,393.58
  5. Step 5: Solve for x
    x = 977,920,393.58/14,528.16
  6. Step 6: Final answer
    x = 67,312.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.